The President who signs the order to put troops back into Iraq might as well use the same pen to write his resignation letter. Heck, maybe Obama can do it on the day before he leaves office.
People think of Iraq, they think of coffins with American flags on them, they think of over a decade of car bombs, suicide bombers, IEDs, and they look at the complete mess that the original invasion made.
It would take someone who is a real smooth-talker to be able to convince the American public that they need to put forces back into Iraq, either that or another 9/11.