Not really. Though they often did want a method to spread their videos, the West lacked any of the real context behind such videos turning it into outrage fueled Western propaganda. I expect the videos sparked far more Islamaphobia than radicalization.
I don't see that. That's like saying radical evangelicals have always wanted to increase hatred against Christianity. The relation between the 2 is that one acts as a recruiting ground for the other.
Radical evangelicals like radical Islam think they are the "pure form" of their religion.
I don't see how you can make that claim. The only possible benefit I can think of for them would be that more bigotry towards Muslims might sway more people towards their point if view, but they were already in close contact with a population thoroughly abused by the West in Iraq.
