There are good reasons for alleviating poverty, but extreme Islam does not seem to need it.
Many of their martyrs have been well to do professionals.
The recent Glasgow London bombers were doctors.
The reasons they cite are disputes in Kashmir, Palestine etc.
I suspect that the slaughter of non believers is their main objective.
The invasion of Afghanistan reduced the number and scale of their attacks.
They mostly now operate from Pakistan. We do have their government on side, but they can not eradicate the extremists from their tribal lands