No way dude - you're going to be loved and lauded the world over for your research. I'm not joking.
I understand your view though - when studying terrorism topics we're usually surrounded by individuals of a certain mentality, world-view, and mindset, which does not mesh nicely with those who speak out against injustice.
But believe me, outside of those circles (which is so much closer to the majority than one might realize), your work is going to be hot sh*t.
But more to your point, I received two of my offers well before formal decisions were coming out (still have not come out). They are openly asking me about competition, and one has said they will do what they can to sweeten the deal if it means picking them over the others. Still, you need more than one offer to play those cards. Also, I didn't pull it out of them, they started asking me.