... From what I've read, the British Muslims have made many demands and the government has usually acquiesced to the latest demand.
So, that 8% seems to be pretty powerful
You're making the implicit assumption that the non-white population is predominantly Muslim. In fact the Muslim percentage is only about 4%. It's worth remembering (something that's usually overlooked here) that among the non-white population the Muslim influence is balanced by large numbers from other groups, such as Hindu and Sikh, with long experience of resisting attempts at Muslim hegemony in their country of origin.
I didn't intend to imply that at all. I presumed that people would make the logical realization that not all 8% were Muslim. Sorry for the confusion.
I would add that with respect to the Brits acquiescing to the Muzzies, they (the Brits) have a history of doing that with other minority or immigrant groups as well. Take for example the Brits allowing limited use of Sharia courts in communities that have large Muslim populations (and these courts here more than just contract disputes). It's true that this happens in the UK. But, before the Sharia courts were allowed, the Brits extended to Jewish communities these came kind of legal considerations. I think that was a mistake as well, a mistake that was made in the name of multiculturalism.
Immigrant groups, including Muslim, Jews, Sikhs and others, need to be willing to fully integrate with society if they wish to emigrate to that society. When they don't integrate, that's when problems begin.
Of course in the interest of fairness and full-disclosure, we have handled the Amish similarly, without the Amish ever blowing anything up.