With all these interpretations you are making of Hebrews 8:8-12 here, are you saying that we are also part of the House of Israel and Judah?
Actually, I was explaining Jeremiah's words, though they are repeated verbatim in Hebrews. And yes, I am saying that we enjoy the blessings that are in Christ that were promised to Israel and Judah. You do know it was always a faith-based test that would determine who are the descendents of Abraham, right?
9 Does this blessedness then come upon the circumcised only, or upon the uncircumcised also? For we say that faith was accounted to Abraham for righteousness. 10 How then was it accounted? While he was circumcised, or uncircumcised? Not while circumcised, but while uncircumcised. 11 And he received the sign of circumcision, a seal of the righteousness of the faith which he had while still uncircumcised, that he might be the father of all those who believe, though they are uncircumcised, that righteousness might be imputed to them also, 12 and the father of circumcision to those who not only are of the circumcision, but who also walk in the steps of the faith which our father Abraham had while still uncircumcised.
13 For the promise that he would be the heir of the world was not to Abraham or to his seed through the law, but through the righteousness of faith. 14 For if those who are of the law are heirs, faith is made void and the promise made of no effect, 15 because the law brings about wrath; for where there is no law there is no transgression.
16 Therefore it is of faith that it might be according to grace, so that the promise might be sure to all the seed, not only to those who are of the law, but also to those who are of the faith of Abraham, who is the father of us all 17 (as it is written, “I have made you a father of many nations”) in the presence of Him whom he believed—God, who gives life to the dead and calls those things which do not exist as though they did; 18 who, contrary to hope, in hope believed, so that he became the father of many nations, according to what was spoken, “So shall your descendants be.” 19 And not being weak in faith, he did not consider his own body, already dead (since he was about a hundred years old), and the deadness of Sarah’s womb. 20 He did not waver at the promise of God through unbelief, but was strengthened in faith, giving glory to God, 21 and being fully convinced that what He had promised He was also able to perform. 22 And therefore “it was accounted to him for righteousness.”
23 Now it was not written for his sake alone that it was imputed to him, 24 but also for us. It shall be imputed to us who believe in Him who raised up Jesus our Lord from the dead, 25 who was delivered up because of our offenses, and was raised because of our justification.
[The New King James Version (Ro 4:9–25). (1982). Thomas Nelson.]
and,
6 But it is not that the word of God has taken no effect. For they are not all Israel who are of Israel, 7 nor are they all children because they are the seed of Abraham; but, “In Isaac your seed shall be called.” 8 That is, those who are the children of the flesh, these are not the children of God; but the children of the promise are counted as the seed. (Ro 9:6–8)
and,
21 Tell me, you who desire to be under the law, do you not hear the law? 22 For it is written that Abraham had two sons: the one by a bondwoman, the other by a freewoman. 23 But he who was of the bondwoman was born according to the flesh, and he of the freewoman through promise, 24 which things are symbolic. For these are the two covenants: the one from Mount Sinai which gives birth to bondage, which is Hagar—25 for this Hagar is Mount Sinai in Arabia, and corresponds to Jerusalem which now is, and is in bondage with her children—26 but the Jerusalem above is free, which is the mother of us all. 27 For it is written:
“Rejoice, O barren,
You who do not bear!
Break forth and shout,
You who are not in labor!
For the desolate has many more children
Than she who has a husband.”
28 Now we, brethren, as Isaac was, are children of promise. 29 But, as he who was born according to the flesh then persecuted him who was born according to the Spirit, even so it is now. 30 Nevertheless what does the Scripture say? “Cast out the bondwoman and her son, for the son of the bondwoman shall not be heir with the son of the freewoman.” 31 So then, brethren, we are not children of the bondwoman but of the free.
The New King James Version (Ga 4:21–31). (1982). Thomas Nelson.