By keeping the law, I am meaning that I practice obedience to it and repentance when I break it, not that I keep it perfectly, so I've kept many of them including the Sabbath. The law was never given for the purpose of trying to keep it perfectly in order to become justified, but rather it was given as instructions for how those who have been justified by faith should act by faith in a way builds a relationship between God and His people. I think many of the laws I am in agreement with most Christians about keeping, but there are some such as keeping God's Sabbath, Festivals, and dietary laws where there is disagreement.
Deuteronomy 10:12-13 “And now, Israel, what does the Lord your God require of you, but to fear the Lord your God, to walk in all his ways, to love him, to serve the Lord your God with all your heart and with all your soul, 13 and to keep the commandments and statutes of the Lord, which I am commanding you today for your good?
Do you have faith that God's commands are for our own good? If so, then the way to live by faith is to live in obedience to them in accordance with Messiah's example.
In 1 Peter 1:14-16, we are told to have a holy conduct and verse 16 says that we are to be holy not because we are under any particular covenant or because we should be like Jews, but because God is holy. Furthermore, verse 16 references Leviticus, where God was giving instructions for how to have a holy conduct that involve keeping His dietary laws and holy days. So we are to do what God has revealed to be holy, righteous, and good in the Mosaic law because God is holy, righteous, and good, not because of any covenant. It's about identify with who God is and walking in line with His character, now about identifying with Jews. Anyone who wants to do what is for their own good by acting in line with God's character can do what is holy, righteous, and good by following the Mosaic law regardless of any covenant, but as part of the New Covenant we are instructed to have such a conduct (1 Peter 1:14-16, 1 John 3:10, Ephesians 2:10).