The moral law, which is summarized in the Ten Commandments, is indeed binding on you today, dear Christian! The commandments were given to us and for us. They were given to help us live a blessed life that is good for us and is glorifying to your God!
The Bible never lists which laws are part of the moral law and never even refers to that as being a category of law. The category of moral law implies that we can be acting morally while disobeying the laws that aren't In that category, however, there are no examples in the Bible of this. Rather, morality is in regard to what we ought to do and we ought to obey God, so all of God's laws are inherently moral laws. Every legislator gives laws according to what they think ought to be done and no one knows better than God what ought to be done, so for someone to claim that some of God's laws are not moral laws is to claim that God made a moral error about what ought to be done when He gave those laws, which is also claiming to have greater moral knowledge than God. The Bible does not distinguish between which of God's laws help us live a blessed life that is good for us and is glorifying to God.
The Old Testament law was given to the nation of Israel, not to Christians. None of the Old Testament law is binding on Christians today. When Jesus died on the cross, He put an end to the Old Testament law.
The New Covenant was only given to the house of Judah and the house of Israel and it involves God putting the Mosaic Law in our minds and writing it on our hearts (Jeremiah 31:31-33), so be careful about what you want to say is only for Israel.
In Matthew 4:15-23, Christ began his ministry with the Gospel message to repent for the Kingdom of God is at hand, which was a light to the Gentiles, and the Mosaic Law 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, which he prophesied would be proclaimed to all nations (Matthew 24:12-14). Furthermore, Jesus set a sinless example of how to walk in obedience to the Mosaic Law and we are told to follow his example (1 Peter 2:21-22) and that those who are in Christ are obligated to walk in the same way he walked (1 John 2:6). So Christ spent his ministry teaching his followers to obey the Mosaic Law by word and by example and being a Christian is about following what Christ taught.
Jesus did not go to the cross in order to negate everything he spent his ministry teaching. In Titus 2:14, it does say that Jesus gave himself to end God's law, but in order to redeem us from all lawlessness and to purify for himself a people of his own possession who are zealous for doing good works, so becoming zealous for doing good works in obedience to the Mosaic Law is the way to believe in what Jesus accomplished through the cross (Acts 21:20) while returning to the lawlessness that he gave himself to redeem us form is the way to reject everything he accomplished through his ministry and through the cross.
Romans 10:4 For Christ is the end of the law for righteousness to everyone who believes.
In Exodus 33:13, Moses wanted God to be gracious to him by teaching him to walk in His way that he might know Him and Israel too, and 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 knowing God and Jesus is the goal of the law, which is eternal life (John 17:3).
In Romans 9:30-10:4, they had a zeal for God, but it was not based on knowing Him, so they failed to attain righteousness because they misunderstood the goal of the law by pursuing it as though righteousness were the result of their works in order to establish their own rather than pursuing it as through righteousness is by faith in Christ, for knowing Christ is the goal of the law for righteousness for everyone who has faith. In Romans 10:5-10, this faith references Deuteronomy 30:11-16 as the word of faith that we proclaim in regard to saying that God's law is not too difficult to obey, that obedience to it brings life, in regard to what we are submitting to obey by confessing that Jesus is Lord, and in regard to the way to believe that God rose Jesus from the dead (Titus 2:14). So nothing in this passage has anything to do with ending God's law, but just the opposite.
Galatians 3:23–25 Now before faith came, we were held captive under the law, imprisoned until the coming faith would be revealed.
God's law leads us to Christ because it teaches us how to know Him, but does not lead us to Christ so that we can reject what he taught and go back to living in sin. In Galatians 3:16-19, a newer covenant does not nullify the promises of an older covenant that has already been ratified, so it does not nullify the promises connected with obeying God's law. Moreover, in Galatians 3:26-29, every aspect of being children of God, through faith, in Christ, children of Abraham, and heirs to the promise is all directly connected to living in obedience to God's law. In 1 John 3:10, those who do not practice righteousness in obedience to God's law are not children of God, in Matthew 23:23, Jesus said that faith is one of the weightier matters of God's law, in 1 John 2:6, those who are in Christ are obligated to walk in the same way he walked, and in John 8:39, Jesus said that if they were children of Abraham, then they would be doing the same works as him.
Ephesians 2:15 by
setting aside in his flesh the law with its commands and regulations. His purpose was to create in himself one new humanity out of the two, thus making peace,
All of God's righteous laws are eternal while Ephesians 2:15 is referring to a law that is not eternal, therefore it is not referring to God's law. In Ephesians 2:10, we are new creations in Christ to do good works, so it wouldn't make sense to think think that a few verses later Jesus set aside God's eternal instructions for how to do good works. God did not make any mistakes when He gave His law, so He had no need to set aside His own laws. God also did not give any laws for the purpose of creating a dividing wall of hostility, but rather His law instructs us to love our neighbor as ourselves. In Ephesians 2:12-19, it is speaking about Gentiles becoming part of Israel and the covenants of promise, not about rejecting Israel and setting aside the covenants of promise. The Greek word "dogma" refers to something other than the Law of God in all of the other times that it used by the NT, so justification needs to be given for why its use in Ephesians 2:15 should be interpreted as referring to the Law of God.
We are under the
law of Christ , which is to “love the Lord your God with all your heart and with all your soul and with all your mind…and to love your neighbor as yourself” Galatians 6:2
God is not in disagreement with Himself about which laws we should follow, so the Law of Christ is the same as the Law of the Spirit and the Law of the Father, which was given to Moses. It wouldn't make sense to think that the Law of Christ is something other than or contrary to the law that Christ spent his ministry teaching by word and by example. In Matthew 22:36-40, Jesus said that all of the other commandments hang on the greatest two commandments, so they are all connected, which means that if you think that the greatest two commandments should be obeyed then you should also think that all of the other commandments that hang on them should also be obeyed.
Old Testament law can point us to and give us an understanding of the law of Christ.
The Mosaic Law points to Christ and we should live in a way that points to Christ by obeying it rather than a way that points away from him.