I agreed treaties belong to the supreme law of the land.  The question is whether they are superior OVER the constitution.  I inferred you seemed to say yes - and correct me if I was wrong.  I disagreed.

Again, ” The U.S. Constitution provides that the Constitution, acts of Congress, and treaties are 'the supreme Law of the Land . . . .'"

Again, "When the Constitution conflicts with a federal law or treaty, the Supreme Court has held that the Constitution is controlling...." 

In the cited case, Treaty was superior over the (otherwise constitutional) statue, but NOT over the constitution.  I think there was a distinction from what I inferred you suggested.