So your saying that the phrase "not under the law refers to the OT sacrifices and not the moral commandments, correct?
Define moral commandments, the 10 Commandments (if that is what you mean by moral) never saved anyone, they showed the Jewish people just how wanting they were, just as they show us that too. God never intended for the 10 commandments to be a means of salvation, for none except Christ could keep them. To atone for sins the Law (O.T. Scripture) required sacrifices these were part of the Law that the Jewish people were required to follow and offer at certain times of the year for certain reasons. Those sacrifices were done away and the 10 Commandments never saved Israel and would never save us because we cannot keep them, to violate 1 is to violate them all scripture tells us.
But define what you mean by moral law.