Problem with your hypothesis: name one Muslim country led by a non-Muslim, elite or otherwise.
There is no stipulation that they must have a Muslim leader, nor is there a stipulation that they cannot have a Muslim leader.
The “leader” doesn’t have to be honest in the first place, and most likely would not be honest.
The main point being, the mentalities desired by those who want to control “everything” are being put into place in all countries that cannot be, currently, easily pacified with the population they started with.