I'd like to say we should stay and create order, but I think that that's a near impossibility. With the partisan presence, and the local population being split ideologically between the Western Point of view and what can only be described as decidedly non-western, I fear it is inevitable that the US will only incur more and more hatred, and less and less ideoligical and political sympathy from the locals.
We ar enoit making their lives better, at this point, so their attitude should be fairly easy to predict. Sadly, it is this attitude that is steering their future. For one reason or another, we failed to win their hearts and minds. After that, it's only a question of how long we try to control them physically.
My suggest is get out while we can and take the fight to the source.
Or, as the original poster suggested, indirectly, just Nook the whole place to hell.