False. You're assuming that they're enemy combatants, not I.
Therefore it is incumbent upon *you* to show where the court has ever overruled a foreign treaty that the U.S. Senate has ratified here in the U.S.
If no treaties have yet been found to conflict with the Constitution, what would be the point of them striking them down?
Keep in mind that courts have striken down laws that have been "legally" passed by both houses of Congress and "legally" signed by the President. There's nothing fundamentally different about treaties.
Then you have no argument at all...because the Geneva Convention has been U.S. law since it was ratified decades and decades ago...and that treaty dictates precisely how we can treat enemy combatants.