In Romans chapter 9 and 10, Paul talks some about the law of righteousness. Read Rom. 9:30-33; 10:1-4.
In particular, Rom 10:14 says, "For Christ is the end of the law for righteousness to everyone who believes."
Israel didn't pursue the law of righteousness by faith in a salvation of the heart. Instead, the end of their pursuit of the law of righteousness was a belief that the works of the law brought salvation. So it is with many today.
So when Jesus shows up and says that the kingdom is here and He is the promise (Luke 4:18-19; 20:9-18), the Pharisees and religious leaders stumbled over that stone. Those whose hearts weren't turned toward God, not having faith in Him for their salvation but rather having faith in their own ability to fulfill God's law, weren't able to see the salvation offered to them in the Word made flesh.
The end goal of the law of righteousness is always Jesus.