Jesus is the (only) Israelite that kept the old covenant. The covenant between God and the Israelites was the one made at Mt Sinai with Moses as the mediator. After the Cross (and especially after 70 AD) it was impossible to keep the Old Covenant with the system removed.
Galatians 3
16The promises were spoken to Abraham and to his seed. The Scripture does not say, “and to seeds,” meaning many, but “and to your seed,”h meaning One, who is Christ.17What I mean is this: The law that came 430 years later does not revoke the covenant previously established by God, so as to nullify the promise. 18For if the inheritance depends on the law, then it no longer depends on a promise; but God freely granted it to Abraham through a promise.19Why then was the law given? It was added because of transgressions, until the arrival of the seed to whom the promise referred. It was administered through angels by a mediator. 20A mediator is unnecessary, however, for only one party; but God is one.
The covenant of faith was, as Galatians 3 describes, given to Abraham. Abraham was made righteous for his faith in the gospel of Jesus Christ as Galatians 3:8, 16 describe.
Gal 3:6-9, 16 NASB 6 Even so Abraham BELIEVED GOD, AND IT WAS RECKONED TO HIM AS RIGHTEOUSNESS. 7 Therefore, be sure that it is those who are of faith who are sons of Abraham. 8 The Scripture, foreseeing that God would justify the Gentiles by faith, preached the gospel beforehand to Abraham, [saying,] "ALL THE NATIONS WILL BE BLESSED IN YOU." 9 So then those who are of faith are blessed with Abraham, the believer. ... 16 Now the promises were spoken to Abraham and to his seed. He does not say, "And to seeds," as [referring] to many, but [rather] to one, "And to your seed," that is, Christ.
Since the gospel of Jesus Christ was preached by God to Abraham, and when Abraham believed the gospel, God made him righteous, and since this covenant with Abraham came 430 years before The Law of Moses, and since once ratified a covenant can no longer have conditions added to it, and since the covenant of faith was ratified with Abraham in the 2nd half of Genesis 15, we can say that the covenant of faith stands apart from The Law, and The Law does not add any conditions to it, but The Law bears witness to it.
I wouldn't say that Jesus REMOVED the law, but rather than Jesus FULFILLED or COMPLETED The Law. The Law can only declare a person qualified as righteous so long as they haven't sinned, it cannot make a sinner righteous. The purpose of The Law was to declare Jesus as righteous so that he could give up that righteousness (give it in a redemptive exchange) with Abraham. Then, all the children of Abraham could inherit that righteousness.
Rom 4:9-13, 16-17 NASB 9 Is this blessing then on the circumcised, or on the uncircumcised also? For we say, "FAITH WAS CREDITED TO ABRAHAM AS RIGHTEOUSNESS." 10 How then was it credited? 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 uncircumcised, so that he might be the father of all who believe without being circumcised, that righteousness might be credited to them, 12 and the father of circumcision to those who not only are of the circumcision, but who also follow in the steps of the faith of our father Abraham which he had while uncircumcised. 13 For the promise to Abraham or to his descendants that he would be heir of the world was not through the Law, but through the righteousness of faith. ... 16 For this reason [it is] by faith, in order that [it may be] in accordance with grace, so that the promise will be guaranteed to all the descendants, 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 (Gen 17), "A FATHER OF MANY NATIONS HAVE I MADE YOU") in the presence of Him whom he believed, [even] God, who gives life to the dead and calls into being that which does not exist.
So the covenant of faith came before the covenant of The Law, but the covenant of faith was not in full force until after Jesus came and gave up his righteous and was raised, by God, from the dead with INHERITED righteousness from Abraham.
Heb 13:20 NASB 20 Now the God of peace, who brought up from the dead the great Shepherd of the sheep through the blood of the eternal covenant, [even] Jesus our Lord,
Heb 1:4 NASB] 4 having become as much better than the angels, as He has inherited a more excellent name than they.
Rom 8:15-17 NASB 15 For you have not received a spirit of slavery leading to fear again, but you have received a spirit of adoption as sons by which we cry out, "Abba! Father!" 16 The Spirit Himself testifies with our spirit that we are children of God, 17 and if children, heirs also, heirs of God and fellow heirs with Christ, if indeed we suffer with [Him] so that we may also be glorified with [Him.]
Jesus' resurrection was truly remarkable in that it demonstrates the covenant of faith works... Christ didn't raise himself from the dead by relying on his own righteousness (though He could have), but rather he waited on God to raise him from the dead through Abraham's covenant of faith (the
eternal covenant as Gen 17:7 calls it) and the inheritance of righteousness in order to demonstrate its effectiveness.
1Co 15:20-23 NASB 20 But now Christ has been raised from the dead, the first fruits of those who are asleep. 21 For since by a man [came] death, by a man also [came] the resurrection of the dead. 22 For as in Adam all die, so also in Christ all will be made alive. 23 But each in his own order: Christ the first fruits, after that those who are Christ's at His coming,