Christianity is what Judaism was supposed to become.
Breaking away from the Old Covenant:
Jeremiah 31:31–34 (KJV)
31 Behold, the days come, saith the LORD, that I will make a new covenant with the house of Israel, and with the house of Judah:
32
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 brake, although I was an husband unto them, saith the LORD:
33 But this shall be the covenant that I will make with the house of Israel; After those days, saith the LORD, I will put my law in their inward parts, and write it in their hearts; and will be their God, and they shall be my people.
34 And they shall teach no more every man his neighbour, and every man his brother, saying, Know the LORD: for they shall all know me, from the least of them unto the greatest of them, saith the LORD: for I will forgive their iniquity, and I will remember their sin no more.
- the covenant was to be made with the house of Israel and the house of Judah
- is not according to Torah Moshe / the Law of Moses which was broken
- the Torah Moshiakh / Law of Messiah "MY law" will be placed in the hearts of those in this covenant (unlike Torah Moshe)
- making God our God (unlike Torah Moshe)
- and we his people (unlike Torah Moshe)
- (unlike Torah Moshe) the identity of YHVH Elohiym / the LORD God will be revealed (to be Jesus)
- all will be equal in this covenant from the least to the greatest (unlike Torah Moshe)
- And YHVH will forgive all our iniquity and remember our sin no more (unlike Torah Moshe)
It is unwise to cling to Torah Moshe as a forever covenant when clearly it is depended upon all parties not breaking the covenant. Verse 32 explicitly indicates that Torah Moshe was broken by the people.
Thus the Law of Moses which they cling to (which condemns the world of all sin) actually condemns them.
In Deuteronomy 30:1-10, it prophesies about a time when the Israelites would return from exile, God would circumcise their hearts, and they would return to obedience to the Torah. In Ezekiel 36:26-27 and Jeremiah 31:33, they are speaking in regard to the New Covenant and the Israelite returning from exile and describe God as circumcising our hearts by means of the Spirit, where God will take away our hearts of stone, give us hearts of flesh, and send His spirit to lead us in obedience to the Torah, and where he will write the Torah on our hearts. Im Romans 2:25-29, the way to recognize that a Gentile has a circumcised heart is by observing their obedience to the Torah, which is the same way to tell for a Jew, and circumcision of the heart is a matter of the Spirit, which is in contrast with Acts 7:51-53, where those who have uncircumcised hearts resist the Spirit and do not obey the Torah. So the New Covenant is all about the Israelites returning to obedience to the Torah, which is also in accordance with the promise and the Gospel of the Kingdom.
In Jeremiah 31:32, it does not say that the New Covenant is not according to the Torah, but that it is not according to the covenant that God made with their fathers, As Hebrews 8:6-13 explains, the way that the New Covenant is not like the Mosaic Covenant is regard to it being based on better promises and have a superior mediator, however, the New Covenant involves God putting the Torah in our minds and writing it on our hearts, so that is not one of the ways that the covenants are not like each other.
In Matthew 4:17-23, Messiah began his ministry with the Gospel message to repent for the Kingdom of God, and the Torah was how his audience knew what sin is (Romans 3:20), so repenting from our disobedience to it is a central part of the Gospel message. Furthermore, Messiah set a sinless example of how to walk in obedience to the Torah, and as his followers we are told to follow his example (1 Peter 2:21-22) and that those who are in Messiah are obligated to walk in the same way he walked (1 John 2:6), so he spent his ministry teaching his followers to obey the Torah of Moses by word and by example, which means that it is also the Torah of Messiah. The same God commanded the Torah of Moses and the Torah of Messiah, so again there is no disagreement.
All of God's righteous laws are eternal (Psalms 119:160), so it is unwise to reject the wisdom of God expressed by them by not clinging to them.
2 Corinthians 3:6 (KJV)
6 Who also hath made us able ministers of the new testament; not of the letter, but of the spirit: for the letter killeth, but the spirit giveth life.
The letter of the law versus the spirit of the law:
There are many verses that say that the New Covenant involves following the Torah, that obedience to it brings life, and that the Spirit has the role of leading us to obey it, so if we are to reconcile those verses with 2 Corinthians 3:6, then we shouldn't understand obeying the letter of the law as referring to correctly obeying what God has instructed. If correctly obeying what God has instructed leads to death, then God is misleading us and we therefore shouldn't have faith in Him.
Galatians 3:24–28 (KJV)
24 Wherefore the law was our schoolmaster to bring us unto Christ, that we might be justified by faith.
25 But after that faith is come, we are no longer under a schoolmaster.
26 For ye are all the children of God by faith in Christ Jesus.
27 For as many of you as have been baptized into Christ have put on Christ.
28 There is neither Jew nor Greek, there is neither bond nor free, there is neither male nor female: for ye are all one in Christ Jesus.
Someone who disregarded everything that their schoolmaster taught them after they graduated would be missing the whole point of a schoolmaster. Someone does not move on to algebra by disregarding everything that they were taught about addition, subtraction, multiplication, and division, but rather their new teacher builds upon what they were previously taught. In Matthew 7:23, Jesus said that he would tell those who are workers of lawlessness to depart from him because he never knew them, so the Torah leads us to Christ because it was given to teach us how to know him, which is eternal life (John 17:3), but it does not lead us to Christ so that we can then reject everything that he taught and go back to living in sin.
Furthermore, in Galatians 3:26-29, every aspect of being children of God, through faith, in Christ, being children of Abraham, and heirs to the promise is directly connected to living in obedience to the Torah. In 1 John 3:4-10, those who do not practice righteousness in obedience to the Torah are not children of God. In Matthew 23:23, Jesus said that faith is one of the weightier matters of the Torah. In 1 John 2:6, those who are in Christ are obligated to walk in the same way he walked. In John 8:39, Jesus said that if they were children of Abraham, then they would be doing the same works as him. In Genesis 18:19, Genesis 26:4-5, and Deuteronomy 30:16, the promise was made to Abraham because he walked in God's way in obedience to the Torah, he taught his children to do that, and because his children did that. So the way that the nations are blessed and the children of Abraham are multiplied in accordance with the promise is by turning the nations from their wickedness and teaching them to walk in God's way in obedience to the Torah (Acts 3:25-26), which is in accordance with the Gospel that was made known in advance to Abraham in accordance with the promise (Galatians 3:8), and which he taught to Gentiles living in Haran in accordance with the promise (Genesis 12:1-5).