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, ...
Jihadists aren’t in a loop. That’s a myth. Jihad is real to them, and they are attacking non believers.
The stated motivation for the 9/11 attacks were the presence of U.S. airbases in Saudi Arabia. Not revenge for some past hurt or attack.
Why does everyone presume that what they say isn’t what they mean?
[0] https://www.theguardian.com/world/2002/nov/24/theobserver
Did you read your own source? Yes, there's more to it than what OP said, but it is true that this was a motivation.