So? Who wields the club? Not the general public.
We've been allies with Saudi Arabia for years and the majority of the suicide bombers were Saudis.
The general public. Think back to Iran in the late 1970s - the government was friendly to the US but not the general public - that didn't turn out so well.
Saudi Arabia is a good example. The Saudi goverment is always having to talk out of both sides of its mouth to prevent being toppled.
It's just not wise to give this sort of power to a nation that has a significant Islamic population.