False, (Warning: Views hurting religious sentiments offered, please turn away now)
Firstly, no secular person would accept the recognition of any religion when it comes to state affairs. Established laws can always be adapted to changing needs. Divine laws cannot. And why do you need the 'interpretations' of Quranic law anyway. Are humans too dumb to respond to present challenges that we need to read and re-read old albeit Holy books.
Accepting the supremacy of any religion will grant it legitimacy and state backing. It cannot be challenged anymore which greatly hinders human thought in addition to all archaic laws (no matter how modern the 'interpretation' which incidentally only came into existence because of 'modernists' who believes in no religion). Religion cannot tolerate Science because religion is always going to be against it because Science relies on fact whilst religion.....................
Secondly, do you think that in a world run by Islamic laws as you say, Islamists or you yourself would tolerate if anyone one day decided to stand up and say, 'Oh wait, all this religion stuff is just bull'. Or if somebody decided to pull a Corpenicus on some of your core beliefs. Islam or Muslims if you prefer are one of the most violent suppressors when it comes to opposing views. Christianity probably was too in the old ages but rationality and atheists took care of it. Same can't be said for you guys. I'm sorry if it hurts your religious sentiments, but thats how it is.
Today, science and consequentially human standards of living wouldn't have progressed all the way if people would have killed everyone who dared to say that Earth is over 6000 years old or that human baby is concieved when a female egg is fertilized by a sperm and all that virgin-birth is just hocus-phocus. The pope wouldn't have been able to say today that 'god isn't a magician'.
State *wall of fire* Religion.
While appreciated as an anti-religion tirade.. how does the above have ANYTHING to do with what I pointed out in my post.