So you want a bottom up political system like Switzerland, so very community can choose for themselves in how far they're Authoritarian, Nationalist, Republican or Socialist?
Something similar to that. But you can't let the population become too different.
And yes, I know that China has some Muslims in it. But you know what I'm talking about.
And I just plain dislike pretty much all Muslim cultures- sexism, polygamy, and their absolute stance against Alcohol are just things that can't exist in an ideal world.