They dont want their world to become westernised in their own country, it sounds like you dont want your own country (uk) to become muslimised, whats the difference?
The reality is that the world is getting to be a smaller and smaller place, and we're all intergrating more and more into each others lives, 100 years down the line cultures are going to be very much mixed anyway, what is happening now is just a transitional period where people try and make sure its their own culture that has a defining influence on the future, its all pissing in the wind though.