Hello
@ServantoftheMostHigh, first and foremost, we cannot keep the Law of Moses "
like Jesus did". If such a thing was/is possible, then neither the Incarnation nor the Cross would have happened (because they would not have been needed).
I like how theologian Dr. Leon Morris puts it (in one of his commentaries). Here is an excerpt concerning v20 from that commentary concerning this matter.
Matthew 5
20 For I tell you, unless your righteousness exceeds that of the scribes and Pharisees, you will never enter the kingdom of heaven.
20. "For" links the following on and is possibly explanatory, “for, as you see.” I tell you puts some emphasis on the surprising statement that follows: Jesus calls for his followers to have a "righteousness that exceeds that of the scribes and Pharisees".
He is surely using the term righteousness in a sense different from that which the scribes and Pharisees attached to it. They looked for strict legal correctness, whereas Jesus looked for love. They stressed the keeping of the law, and from the standpoint of the lawkeeper it is not easy to see how anyone could exceed their righteousness. Along the lines of lawkeeping who could possibly exceed the righteousness of those who tithed mint, dill, and cummin (Matthew 23:23)?
But Jesus has already spoken of a different kind of righteousness (Matthew 3:15), and it is central to the Christian gospel that Jesus would fulfil all that Scripture means in making a new way, a way in which he would bring those who believe in Him to salvation. This does not mean cheap grace, for the words of this verse bring out the truth that those who have been touched by Jesus live on a new plane, a plane in which the keeping of God’s commandments is important.
Their righteousness is a given righteousness.
Nowhere do we get the idea that the servant of God achieves in his own strength the kind of living that gives him right standing before God. But when he is given that standing, Jesus looks to him to live in accordance with that standing.
Later in this sermon Jesus will emphasize the spirit rather than the letter of the law. The Pharisees put a tremendous emphasis on the letter of the law, but Jesus was looking for something very different from the Pharisaic standard. For them it was a matter of observing regulations (and softening them where possible), but for Him it was keeping the commandments in depth; He taught a radical obedience.
~Morris, L. (1992). The Gospel according to Matthew (pp. 110–111). W.B. Eerdmans; Inter-Varsity Press.
I remember reading about a popular 1st Century rabbinic teaching concerning the "keeping" of Torah. Since every (honest) Jew back then realized that keeping/obeying the Law perfectly (or even close to perfectly) was impossible, the idea was put forth that if a person could obey just ~one~ of the 613 Laws perfectly, from adulthood to the grave, God would be ok with that.
James 2:10-11 is just one of the verses/passages that explains why that rabbinic belief/teaching could not be true, so the Father sent the Lord Jesus here to live a perfectly righteous life before Him on our behalf (the life that we were supposed to live before Him, but could not), and then to die on the Cross in our stead to atone for/save us from both the power of our sins (in this life) and from the penalty of our sins and His wrath in the age to come.
Therefore, Jesus is our only innocence, our only righteousness, and the only atonement and satisfaction for our sins and His wrath.
HAPPY NEW YEAR
GOD BLESS YOU!!
~Deuteronomy
2 Corinthians 5
21 He made Him who knew no sin to be sin on our behalf, so that we might become the righteousness of God in Him.