Piffle.
They're not satisfied even in places where Sharia law is ubiquitous. In those lands, they splinter into warring cult factions, each accusing the other of not being Muslims, and murder each other at every opportunity. They blow up and desecrate each other's houses of worship, murder women and children, and shoot refugees as they try to escape war zones.
Steely.
Thank You for The Reality.
Now to extrapolate. Will the last Moslem standing finally be happy?