I’m not so sure that “No UN treaty can ever supersede the laws of the United States; the Supremacy Clause of the US Consitution explicitly forbids it.”

We have this in the second clause of Article Six of the US Constitution:
“This Constitution, and the Laws of the United States which shall be made in Pursuance thereof; and all Treaties made, or which shall be made, under the Authority of the United States, shall be the supreme Law of the Land; and the Judges in every State shall be bound thereby, any Thing in the Constitution or Laws of any State to the Contrary notwithstanding.

Someone correct me if I have this wrong, but Wipikedia appears to call this the “supremacy clause” and it seems to say that a UN treaty ratified by the Senate would be the law of the land in the US.