It seems to me that we do not understand the new covenant. The main area of confusion appears to involve the difference between the removal of guilt and the overcoming of the sinful nature.
I have been a Christian for a number of years. Yet I cannot remember one sermon on salvation that did not stress forgiveness as the primary work of the new covenant. The truth is, the primary work of the new covenant is not that of forgiveness but the bringing forth of a new creation of righteous behavior. The new covenant is superior to the old because it includes the authority and power to accomplish moral transformation.