I don't KNOW for sure, obviously, but it's an approach that should be tried.
We should:
Stop telling them that they need to have "democracy" when it essentially doesn't work in the Middle East.
Stop passing judgment on their culture and religion.
Refrain from meddling in their internal politics.
Not exploit their countries for oil but let them sell the oil themselves and respect that their countries won the oil lottery and that we are too dependent on oil.
Let Israel take care of itself and not pump American money into Israel. God will take care of his chosen people according to his plan and does not need "help".
If this happened the moslems would have nothing to complain about and would probably focus on their own countries instead of hating the West..
I don't think the general West/Middle Eastern problem is comparable Russia's problems with extremism. After all, that takes place within Russia itself and is a more complex issue.