;>)
You misunderstand:
“To summarize: the Senate does not ratify treaties; the President does. Treaties, in the U. S. sense, are not the only type of binding international agreement. Congressional-Executive agreements and Sole Executive agreements may also be binding.
It is generally understood that treaties and Congressional-Executive agreements are interchangeable; Sole Executive agreements occupy a more limited space constitutionally and are linked primarily if not exclusively to the President’s powers as commander in chief and head diplomat.
Treaties and other international agreements are subject to the Bill of Rights. Congress may supersede a prior inconsistent treaty or Congressional-Executive agreement as a matter of U. S. law, but not as a matter of international law.
Courts in the United States use their powers of interpretation to try not to let Congress place the United States in violation of its international law obligations. A self-executing treaty provision is the supreme law of the land in the same sense as a federal statute that is judicially enforceable by private parties.
Even a non-self-executing provision of an international agreement represents an international obligation that courts are very much inclined to protect against encroachment by local, state or federal law.” i.e. the Budapest Memorandum: