I'm a British Muslim with family from North Africa, and despite the fact I was born here and I have lived here for all my life, I respect the views shared by the majority of the British society.
I don't feel it's my country, therefore, I don't feel the urge to try and change the way things are run here. Obviously, coming from Algeria, I won't be as religiously strict as, say a Muslim from Saudi Arabia, but my family maintains the traditions, views and culture that are associated with a typical Algerian family. However, we don't try and change things like many radical Muslims do, like the guy who put up loads of anti-homosexual stickers in and around his area.
On the other hand, I think it's fair as British citizens to have a contribution to changing the society, purely because as we live in such a modern society, we have to welcome the multi-cultural mix with democracy and equality.