Hebrews 8:1
Now in the things which we are saying, the main point is this. We have such a high priest, who sat down on the right hand of the throne of the Majesty in the heavens,

Notice that Hebrews here employs a circumlocution instead of the Divine Name.

Hebrews 8:2
a servant of the sanctuary, and of the true tabernacle, which the Lord pitched, not man.

The Zohar says,

“R. Jose said: ‘How are we to understand the words, “and they saw the G-d of Israel” (Ex. XXIV, 10)? Who can see the Holy One? Is it not written: “No man can see Me and live”? It means that a rainbow appeared above them in radiant colours resplendent with the beauty of His grace. Therefore the saying that he who gazes at a rainbow gazes, as it were, at the Shekinah. . . . R. Jose further said: “They saw the light of the Shekinah, namely him who is called “the Youth” (Metatron-Henoch), and who ministers to the Shekinah in the heavenly Sanctuary.”
Zohar, Volume III, Beshalah 66b. Soncino Press Edition, pg. 208

R’ Yehudah Chayoun cites a Midrash describing the vision of the Heavenly Temple that Moshe experienced before he died,

“Our rabbis said: On the day Moshe Rabbeinu’s death approached, God brought him up to the heavens and showed him his Divine reward and what the future held…[he] saw God building the Temple with precious stones and pearls. Between each stone was the glow of the Shechinah, more radiant than pearls. Moshach ben David stood in [the Temple] and Aharon, [Moshe’s] brother, stood on his feet, his cloak upon him. . . Moshe fell on his face before God and said to Him, “Master of the world, give me permission to speak with your anointed one before I die.” Moshe [then] asked Moshiach ben David, “God spoke to me, [saying] He would build the Temple in the land…and behold, I have seen Him build His Temple by hand in the heavens!” Moshiach said to Moshe, “Moshe! Yaakov you forefather saw the house that will be built on earth…’When Moshe Rabbeinu, peace be upon him, heard these words from Moshiach ben David, he felt great happiness…[Then] he gave his soul to God wholeheartedly.”
Midrash Arakim, Midrash “HaShem BeChochmah Yasad Aretz,” cited in Otzros HaAcharis HaYamim, When Moshiach Comes, R’ Yehudah Chayoun, pg. 201-202

Hebrews 8:3
For every high priest is appointed to offer both gifts and sacrifices. Therefore it is necessary that this high priest also have something to offer.

“Another explanation of the text, SETTING UP ETH THE TABERNACLE. R. Simon expounded: When the Holy One, blessed be He, told Israel to set up the Tabernacle He intimated to the ministering angels that they also should make a Tabernacle, and when the one below was erected the other was erected on high. The latter was the tabernacle of the youth whose name was Metatron, and therein he offers up the souls of the righteous to atone for Israel in the days of their exile.”
Numbers Rabbah, XII:12, Soncino Press Edition

Hebrews 8:4
For if he were on earth, he would not be a priest at all, seeing there are priests who offer the gifts according to the Torah;

Below, only those who are descendants from Aharon can be priests.

Hebrews 8:5
who serve a copy and shadow of the heavenly things, even as Moshe was warned by God when he was about to make the tabernacle, for he said, See, you shall make everything according to the pattern that was shown to you on the mountain.

To prove the existence of the Heavenly Tabernacle, the Zohar quotes the exact same passage as the book of Hebrews,

“And again it is written: “’And you shalt rear up the Tabernacle according to the fashion thereof which was shewed thee in the mount” (Ex. 35:30). R. Jose said: ‘From this we see that the Holy One, blessed be He, actually gave Moses all the arrangements and all the shapes of the Tabernacle, each in its appropriate manner, and that he saw Metatron ministering to the High Priest within it. It may be said that, as the Tabernacle above was not erected until the Tabernacle below had been completed, that “youth” (Metatron) could not have served above before Divine worship had taken place in the earthly Tabernacle. It is true that the Tabernacle above was not actually erected before the one below; yet Moses saw a mirroring of the whole beforehand, and also Metatron, as he would be later when all was complete. The Holy One said to him: “Behold now, the Tabernacle and the ‘Youth’; all is held in suspense until the Tabernacle below shall have been built.” It should not be thought, however, that Metatron himself ministers; the fact is, that the Tabernacle belongs to him, and Michael, the High Priest, it is that serves there, within the Metatron’s Tabernacle,mirroring the function of the Supernal High Priest above, serving within that other Tabernacle, that hidden one which never is revealed, which is connected with the mystery of the world to come. There are two celestial Tabernacles: the one, the supernal concealed Tabernacle, and the other, the Tabernacle of the Metatron. And there are also two priests: the one is the primeval Light, and the other Michael, the High Priest below.”
Zohar, Shemoth, Section 2, Page 159a, Soncino Press Edition

Hebrews 8:6
But now he has obtained a more excellent ministry, by so much as he is also the mediator of a better covenant, which on better promises has been given as Torah.

The New Covenant has not yet come into full fruition. Like creation itself, it is unfolding as a process. It begins with the death and resurrection of Mashiach ben Yosef, which transitions into the Messianic Era. During the Messianic Era, the sacrifices of the Temple will continue, but at the end of the 1000 year Messianic reign, the death will be completely destroyed and the heavens and the earth will be re-created. The New Covenant, enacted by the blood of Mashiach ben Yosef, is the catalyst to bring the Olam Haba, destroying Amalek and death forever.

Hebrews 8:7
For if that first covenant had been faultless, then no place would have been sought for a second.

The “fault” of the Older Covenant is NOT with the covenant itself, but that it was never designed to remove sin and death from the world. The real problem, as the next verse shows, is us.

Hebrews 8:8
For finding fault with them, he said, “Behold, the days come, says the Lord, that I will make a new covenant with the house of Israel and with the house of Judah”

Notice, that the real ‘fault’ of the older covenant is not with the covenant itself, but with us. The older covenant, as explained below at verse 13, applies to a fallen world that contains sin and death. Jeremiah 31 says,

“Behold, the days come, says HaShem, that I will make a new covenant with the house of Israel, and with the house of Judah…”
Jeremiah 31:31

Hebrews 8:9
“not according to the covenant that I made with their fathers, in the day that I took them by the hand to lead them out of the land of Egypt; for they didn’t continue in my covenant, and I disregarded them,” says the Lord.

“…not according to the covenant that I made with their fathers in the day that I took them by the hand to bring them out of the land of Egypt; which my covenant they broke, although I was a husband to them,” says HaShem.
Jeremiah 31:32

Hebrews 8:10
For this is the covenant that I will make with the house of Israel. After those days, says the Lord, “I will put my laws into their mind, I will also write them on their heart. I will be their God, and they will be my people.”

“But this is the covenant that I will make with the house of Israel after those days, says the LORD: I will put my law in their inward parts, and in their heart will I write it; and I will be their God, and they shall be my people.”
Jeremiah 31:33

Hebrews 8:11
They will not teach every man his fellow citizen, and every man his brother, saying, Know the Lord, for all will know me, from their least to their greatest.

“and they shall teach no more every man his neighbor, and every man his brother, saying, Know the LORD; for they shall all know me, from their least to their greatest, says the LORD…”
Jeremiah 31:34

Hebrews 8:12
For I will be merciful to their unrighteousness. I will remember their sins and lawless deeds no more.

“… for I will forgive their iniquity, and their sin will I remember no more.”
Jeremiah 31:34

 Hebrews 8:13
In that he says, “A new covenant,” he has made the first old. But that which is becoming old and grows aged is near to vanishing away.

Notice that the author of Hebrews does not say that the Old Covenant has passed away, but that “it is near to vanishing away.” Notice that the older covenant is in the process of passing away. It is still here until heaven and earth pass away. The Torah will undergo a transformation when the Olam Hazeh passes away.  When HaShem created the world through the Primordial Torah, it was absolutely perfect. There was no death, suffering, sadness or pain. However, when Adam sinned, the letters of the Primordial Torah re-arranged, to apply to a fallen world. The Torah remained perfect, but it now applied to a world that was no longer perfect, as Numbers 19 says,

זֹ֚את הַתֹּורָה אָדָם כִּי־יָמוּת בְּאֹהֶל

“This is the Torah when a man dies in a tent…”
Numbers 19:14

The Torah’s letters re-arranged to apply to situations like death, sickness, divorce, sin, suffering and war. In the New Torah the word ‘death’ will never be mentioned. Even the Midrash on Psalms hints that the Torah of this world is not in its proper order,

“Man knoweth not the order thereof” (Job 28:13). R. Eleazar taught: The sections of Scripture are not arranged in their proper order, and any man so read them, he would be able to resurrect the dead and perform other miracles. For this reason the proper order of the sections of Scripture is hidden from mortals and is known only to the Holy One, blessed be He, who said: “Who, as I, can read and declare it, and set it in order.” (Isaiah 44:7)
Midrash Tehillim, translated by William G. Braude, Yale University Press, pg. 48

Yet the Midrash Talpiyot comments that the letters of the Torah will re-configure itself back to its primordial state,

“The Holy One, blessed is He, will sit and expound the New Torah which He will give through the Messiah. “New Torah” means the secrets and the mysteries of the Torah which have remained hidden until now. It does not refer to another Torah, heaven forbid, for surely the Torah which He gave us through Moshe rabbeinu, peace be upon him, is the eternal Torah, but the revelation of her hidden secrets is called the “New Torah”. . . when Adam the first man sinned, God arranged the letters into words, such as, When a man dies in his dent (Num 19:14). For had Adam not sinned, the letters would have arranged themselves into other words. Therefore, in the Olam Haba, the words will return to their primordial state.”
Midrash Talpiyot 58a, cited in the Messiah Texts, Raphael Patai, pg. 256

It is important to note that the New Torah is the same Torah of Moshe, but with its hidden soul revealed. Yeshua teaches that ‘not one jot or tittle shall ever pass from the Torah,

“Do not think that I came to destroy the Torah or the Prophets. I did not come to destroy, but to fulfill. For most certainly, I tell you, until heaven and earth pass away, not even one smallest letter[4] or one tiny pen stroke shall in any way pass away from the Torah, until all things are accomplished.”
Matthew 5:17-18

When ‘heaven and earth pass away’ is when the Olam Haba, the World to Come arrives. Then the New Torah will be revealed in its fullest measure. HaShem will use the New Torah in order to re-create the Heavens and the Earth.