This theory that the Supreme Court somehow wields exclusive power to interpret the Constitution is a throwback to the oracles of ancient mysticism.
They have no such authority either implied or exclusive.
Well, there's the Court's appellate review power in Article III, Section 2. You know, in the Constitution itself. Then there's Marbury v. Madison (1803) which solidly lays out the reasons for judicial review and points out that the Constitution has absolutely no force if the courts are not bound by it and that being bound by it requires them to interpret it when laws are in conflict.
Also, you have to understand that the Constitution didn't appear out of a vacuum and set the starting point from which an entire legal system would sprout. The Constitution was written in context of an existing English common law legal system used across the 13 colonies and uses terms that would have been well understood in that context and did not need specific definition, as you would see in a modern contract or statute.
For example, what is "corruption of blood" in Article III, Section 3? If you aren't an 18th century lawyer, you probably would have no idea since it isn't defined. A much bigger definition problem: What exactly is "due process?" It's not explained anywhere in the Constitution itself and is defined solely through court decisions.
But the ninth amendment does, and the combined weight of the ninth and tenth amendments draws a very clear dark line around the limited powers of a limited government and says in a very clear and unambiguous voice: "this far, and no further."
Doubtful. It's highly unlikely that the framers who wrote Article I intended to immediately neuter all powers Congress had at the time of ratification and to toss everything out. The intention was simply to state the the Constitution didn't grant the government the power to take away all rights not covered by the Bill of Rights and that it was limited to the powers enumerated in the Constitution.
Of course, the problem here is that the ability to regulate interstate commerce is enumerated in the Constitution. You can't really get around that fact.