That's true to a point, but it's not that simple.
We support a lot of tyrants in the name of stability, and that motivates people into nationalistic goals that are co-opted by Islam, the same way that many of the independence movements of the 20th century were co-opted by Communism. The hard core Islamic fundamentalists wouldn't have a fraction of the power they do now, if they weren't fed from one hand on hatred of their tyrant, and on the other from oil dollars.
Islamic whackjobs have always been a problem, but the reason that the 'global jihad' has legs has a lot more to do with local politics than theological intolerance.
I think that the USA could pull out of all Muslim countries...could build a fence and become totally isolationist..and it wouldn't change the "hearts and minds"...
And they would STILL attack us...
You need to read Robert Spencer's book that was recommended on this thread.