That would require global implementation of free-market capitalism. The terrorists, meantime, seek to impose a sharia-based dictatorship. They could give a rat's a$$ about poverty.
This has nothing to do with curing poverty but rather has everything to do with satisfying the liberal's concept of "white man's burden". According to the left we should not solve poverty by teaching people how to be self sufficient but rather we should infantilize them to the point where they look to their "white fathers" for everything as the reservation-bound Native Americans must do.
Remember that these are the same people who have said that we should not put a democratic government in place in Iraq because Arabs are incapable of governing themselves.