I find I have some fundamental disagreements with Islam. Not only with the way in which women are viewed, but also the Holy War element of Jihad which I have interpreted (and seen) to be something that does not sit especially well alongside Western Christian values. (there are also the views on homosexuality, adultery, Sabbath breakers etc. that fundamentally clash with a lot of my western beliefs)
It seems to me that Muslims and Non-Muslims will find it very difficult to live equally and peacefully together given what the scriptures actually say - the clash of values is a big one. And this appears to be playing out. We have had many years of people being tolerant and accepting, waiting for integration but I do fear the gap is too wide to repair permanently. Yes, Brexit was a sign that people are fed up of the experiment of multiculturalism, and I don't think that make you a bigot necessarily, it makes you someone who wants to retain some of your historical familial culture - as do all humans across the globe - so not something unique to white british people. It is literally a part of your wellbeing to be part of a community, one which has a history and grounding and a common shared set of values - and saying that is nothing, and you should just bow down and give up on your community and bend your values is naive at best and disgustingly offensive at worst.
This obviously doesn't sit entirely comfortably with me. I understand that the multicultural experiment is none of our faults, and we have done it now, and we will have to learn to deal with it better because as the OP has pointed out, I am very sure that there is a rise in anti-Muslim sentiment and that is not good. I just think it is inevitable given the acutely different sets of beliefs between Muslims and non-Muslims and politicians should never have been so naive as to put us all in this position.