I don't have faith that the President can stand up to the war chiefs, but he needs to grow a pair fast, because every choice he has, except a smart and orderly withdrawl, results in political failure. If he escalates he can kick the can, but surely not past his second term - probable failure for which he will be blamed. If he treads water, and we continue to lose 10-12 guys at a time, he probably won't survive his first term, especially if there are reverses so bad that we won't be able to declare a (phoney, but I'll take it) victory.
He needs to go on offense. He's boxed in politically, and I don't believe he can buck his masters, but the military solution isn't that thorny. Declare victory, stand down and make it clear that the ground pounders are not expendable game pieces. Make sure that all blame, especially for any domestic economic chaos, is redirected to the previous regime that also managed to practically destroy the active military and reserves. If he can, he should get Schwartzkopf (who was a tool, but at least he looked out for his troops) back as SecDef.
Of course, he will dither and speak good things instead, so my only real hope is that the grunts concentrate on keeping each other alive and the spirit of healthy insubordination works it's way up the chain-of-command, until President Paul can straighten it back out.