Since the Article 1 Section 1 is supreme, the Constitution gives legislative authority to Congress, not the Supreme Court. The interpretive authority applies to the parties at suit, but does not alter existing laws.
Original intent is at the heart of this issue, but its also only half of the issue. The real issue is the difference between the way things are today and the way things ought to be. Marbury v Madison set a precedent that exists until today and goes to the heart of Roe v Wade. The perfect example of judical activism.