That doesn't work for the USA. They have to be there, in the way of their comprehension of their security or future plans. Besides, you know, importing democrasy was never the case anyway, the USA is there for its own sake, they say it's for world security, for local security or just for democrasy but of course the initial purposes are way greater than these reasons.
I'm not saying these to be against the USA or particularly against any country, I'm just not a fan of any country anymore, it's the way of the world, it's never been a peaceful place, unfortunately. I.e. if Russia or China had have even a fifth of the USA's power (global wise), they would be in the job as well, that, they're already doing more locally.
Anyway, for the hate towards the USA, I really don't know if they(government and mil) really care about it.