Not a problem. We surrender and pay ourselves reparations.
And if it's English lairds financing this thing they should be treated differently from Arab sheiks? I don't think so. England extradites them, we hang them, and a truce is declaired.
Unfortunately, much as I dislike W, when you are at war you need someone who has both complete responsibility and complete authority to back up that responsibility. Since he's in the position, he's the one, and he'd better perform. Waiting for Congresscritters to form a consensus on every major move is a sure ticket to disaster.
And I still think a formal declaration of war, enemies to be appointed as needed, is a good way to go. That keeps things in sharp focus for potential enemies.