Channel 4 commissioned a NOP poll of British Muslims for Dispatches.
Asked about attitudes towards free speech, there was little support for freedom of speech if it would offend religious sensibilities. 78% of Muslims thought that the publishers of the Danish cartoons of the Prophet Muhammed should be prosecuted, 68% thought those who insulted Islam should be prosecuted and 62% of people disagree that freedom of speech should be allowed even if it insults and offends religious groups.
https://ukpollingreport.co.uk/blog/archives/291