I clicked on the link and actually read the majority decision, something Schlafly apparently did not. Before I stopped counting I noted at least 25 citations from prior decisions of the Supreme Court and lower courts that Justice Kennedy used to support the majority ruling. And that was before Justice Kennedy said, "The opinion of the world community,
while not controlling our outcome, does provide respected and significant confirmation for our own conclusions."
So Phyllis is full of crap. The Court did not rely on international law for their decision, but mentioned that law in the course of their majority ruling. The Court, as it should have, relied on precedent from U.S. Supreme Court and lower court rulings. There is nothing to impeach over.