For some, these two poll results seem to contradict one another.

I suspect, however, that in the minds of the "boots" on the ground it is precisely the combination that makes the most sense. Check with a few of the ones who have served on such missions, but I believe their rationale would be as follows:

Let's stop dicking around, really ramp up the effort so that we can kill the fuckers, then we get to go home.

Soldiers wanting to go home has a long history -- any culture/time/war.