And does it go the other way? Do you create violent anti-Islamists when Muslims commit terror attacks? Were the orphans of 9/11 more likely to sign up for the US military, or commit hate crimes against Muslims than their non-directly-affected peers?
Yes, of course it does. Hell, even on the recent 9/11 HN thread there were people who said they joined the military after the towers collapsed. It's only natural reaction when your nation gets attacked, and it works the same everywhere.
It's best to think of this as a single self-perpetuating process, with a strong feedback loop of hate and suffering inside. So the US bombs some Muslim countries, and eventually some group manages to pull off a 9/11 in retaliation. US reacts to this by utterly destroying several countries, and in reaction, ISIS is born. Which then US and others attempt to bomb out of existence. Rinse, lather, repeat. A kills B's people, B retaliates by killing A's people, A retaliates to retaliation by killing B's people, ...
Considering America has concentrated a large number of bombs on Afghanistan, why are they underrepresented in terrorist bombing of American targets? Why didn't the US see a spate of attacks from Cambodia in the 70s?
These are all great stories that have been talked about. But unless there is some kind of supporting evidence, these are still just stories.