Treaties SHALL be the SUPREME LAW of the land.
While not superseding the constitution, it is nearly equal to and certainly supersedes congress. I would rank a treaty one small step below an amendment. In other words, I think treaties carry a lot of weight and are to be feared as a way to steal power from the people and their representatives.
No, treaties do NOT supersede Congress. They must be ratified by the Senate, but they are the third item mentioned in Article VI, which is about the level of importance the Founders put on them. The do NOT have any real effect until or unless enabling legislation is passed by Congress and of course THAT may not exceed the specific authorities granted to Congress by the Constitution.
I believe you would.