I'd bet the UK and Australia have atheists in their armed forces, but they don't run the world. I've met militant Jews in Israel's armed forces, but they don't run the world either. The United States runs the world, but has a heavily Protestant tilt.
Point I was trying to make is the militancy is an end in itself and the belief structures are simply bent to serve it.. in refutation of the idea that militancy in the muslim world is peculiarly religious.
They find religious justifications for operational killings in order not to abandon their religion, not because their religion demands it. US forces just abandon religion when it suits them and call themselves a secular nation. The British made themselves a whole new religion answerable to the head of state. These are all just ways of twisting religion to serve power.