Rand Paul actually said...

We are giving up authority that was constitutionally given to us.

the time is long overdue, Mr. Chairman, for the U.S. Congress to respect the Constitution of this country, to stand up for that Constitution...

If we are still at war 17 years from now, if Kaine-Corker passes and there are no limits on war, let it be known that there were at least so...

I would argue that the AUMFs are unconstitutional because they do not have an endpoint.