I cannot accept this as true. No treaty can override the Constitution. To amend the Constitutions requires 3/4 of the states to ratify, a treaty a majority of the Senate. The Bricker Amendment must be a way to tell Justice Kennedy to keep his hands off foreign law.
How about an amendment:
2/3 of both houses to raise taxes and spending and a simple majority to lower them.
The Supremacy Clause of the U.S. Constitution
is contained in Article VI:
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.