Indeed, that may well be the case. That isn't important to my argument, though. Facts as they stand is that they do hate us, they blame their problems on us (some of it is legitimate, I will concede), and withdrawal of American occupation may lead to greater problems for us down the road. That's my point.
At the same time, though, I can't imagine there isn't some emotional backlash against nonmilitary policies against the West through the IMF and whatnot. And I don't know, man. I think that in this world, someone in a position of strength is prone to abusing that position even without deliberate ill will.
The initial backlash to us bringing our troops home may be worse. In the long run it will be much better for both sides though. We can either drag it out forever, or we can take a big hit all at once and get it over with. Dragging wars out are a very common reason for the downfall of a nation/empire.