Should Christians keep God's commandments under the new covenant?

We are not saved or justified by keeping the law. We are saved by grace through faith in Jesus Christ who paid for our sins. We are under a new covenant so why would believers still want to keep the law if we are saved by grace? Please hear me out.

John 14: 15 If ye love me, keep my commandments.

Revelation 12: 17 And the dragon was wroth with the woman, and went to make war with the remnant of her seed, which keep the commandments of God, and have the testimony of Jesus Christ.

Revelation 22:14 Blessed are they that do his commandments, that they may have right to the tree of life, and may enter in through the gates into the city.