Obeying God's Laws will not save me?
I think Jesus would disagree with you; he said "On these two commandments depend the whole Law and the Prophets".
He said "There is none other commandment greater than these", and "Thou hast answered right: this do, and thou shalt live."

Most Christian denominations consider these two commandments the core of the Christian religion.
https://en.wikipedia.org/wiki/Great_Commandment