The words of Jesus are very helpful but they need to be understood in the context of the two Covenants. For instance, Jesus said, I come to fulfill the law, are we to disregard this because his words do not matter? Jesus said, if you abide in me, you will bear much fruit. Do we jettison this because his words do not matter?
Jesus said, if you believe in me you have eternal life, Is this also on the junk pile? Jesus words are there, just as the law is, to drive us to Christ. The law still matters, but not for salvation. It has no life in it, it can only condemn. If it were to be removed then Jesus did not need to die. His death fulfilled the law in us in that he took the penalty it imposed and paid it for every living human on this earth. The law was satisficed by Him and He will take anyone's mortgage to it and tear it up since it has been paid in full.
This is also the biggest proof of his infinite power and life.