It is not the system itself that muslims have a problem with. It is mostly the immoral, and cultural depravations that can come out of a system where the majority decides the law even if the majority are ignorant and immoral. And how laws can be created to benefit the few, and oppress the others.
If muslims have a problem with democracy why do they imigrate to a democratic nation such as England.
There has always been immoral acts within islam and other religions,in Britain we don't really go for cultural depravations.
It has been over 400 years since we escaped from religion in this country and better for it we are and democracy is the only way to go if you want a voice.
There are many athiests for example who are morally as good as the most devout religious follower so i don't think islam should be judgemental concerning other religions or ideals when its own is less that perfect.
I certainly do not see Britain as ignorant or on the whole immoral,we and our allies fought two world wars and the last one against pure evil ,however there is much in some islamic countrys that benefits the few over the majority .