Maybe not, but lets assume that everyone makes mistakes, and sure this was a doosie, so lets put that behind us.

Now since they are there now, and everything is royally screwed up, how can the US fix it. Should they just jump ship and hope for the best? Or should they stay and try to stablize the situation.

I think that the best, and only way is for the USA to set a definte timetable to withdraw. Say 1 year, and then take steps from this point on to make that transition as smooth as possible.