Education doesn't change a person's basic character which gets etched at a very early age. Read any introductory Sociology/Psychology book (particularly the section which talks about "the significant other"). Contrary to popular belief, peer groups and schooling have very little influence over a person's character building. Immediate family and neighbourhood are the major influences. A doctor's kid becomes doctor, a politician's kid becomes politician....etc
Even if they look liberal on surface, some people are more susceptable to radicalization than the others. Talking from my experience, a poor Muslim is less likely to be a fanatic than an average "educated" Muslim, that is because the "poor" Muslim keeps himself busy while trying to arrange food and shelter for his/her family. He barely finds any free time to read about "Glorious Islamic Empires" which slaughtered the non-believers and took their women as sex-slaves.
Religion has its own dymanics that defy psychology. Many guys who are radical muslims are well off, when it comes to education and money.
The poor can be tempted, to find an easy way to earn money by doing jobs for the radicals; like finding safe houses, transporting people and materials for explosive devices or even take part in action cuz with that money they can feed the family and save them+ the false feeling of being blessed and get 72 virgins.
I dont think when it comes to religion, nobody tries to sit down and reads about it, then analyses things about it.This is what the poor dont have time for. THey just believe someone they think is a religion scholar or a believer or with a 'lal topi' ( in case of Pokingsatan).
Poverty riddled with misery creates a mindset that could be unpatriotic. (Feeling that they are suffering in the host country). This is an easy picking for religious fanatics bend on killing innocent people for the cause (read:haux). They lure such poor people with money , making use of their poverty, making them a fanatic.