Now, what I'm about to say might sound crazy, and I am not saying that this has even been discussed by the big powers, but the number of Chinese and Muslims are close to the same. I would suggest that the Chinese are more technologically advanced and capable of faster, more decisive global movement. In short, they would kick butt.
I wonder if the US or Russia or China has considered letting the Chinese take on the Muslims? They could 'accidentally' take out a few troublesome places like N. Korea while they're at it.
Most of the conflict would happen on neutral ground for all three countries - the ME. Small trouble pockets like the UK could be tactically nuked. Wipe the island clean and start over sort of thing. It's a triple punch. No Muzzies, Brits or royalty. Poof! All gone. Then start the island over. Give it to France or let the EU use it for something.
Just a thought.