Treaties cannot override the first eight amendments in the Bill of Rights or the Constitution's other specific exceptions to federal authority (such as the ban on taxing exports). Those provisions were adopted to deny the federal government authority it otherwise might have. A treaty cannot override those limits.

EDIT: Nor can any other agreement. The Constitution prohibits such.

Treaties cannot override the first eight amendments in the Bill of Rights or the Constitution's other specific exceptions to federal authority (such as the ban on taxing exports). Those provisions were adopted to deny the federal government authority it otherwise might have. A treaty cannot override those limits.