You miss my point, Musket, I think. In fact I suspect you get it the wrong way round.

I wasn't suggesting that you fail to appreciate the differences between various varieties of Islam, as with Christianity. I was suggesting that you might be failing to recognising that the reality of these differences is not always the most important thing.

People who are hostile to Muslims, or Christians, or Jews do not generally worry about those differences. And typically in circumstances where genuine common persecution is involved, nor do adherents of those religions. (And of course I fully recognise that in all three traditions, more especially the former two, there has been a continuing history of persecution towards other branches of the same religion. Though aanyway in truth all three traditions are branches of the same religion in the first place.)

That's communality right there. But not just there. "The only commonality is knowing enough ancient Arabic to read from their scripture." That's a very significant commonaliity in itself. And so is something like the enormous Haj pilgrimage to Mecca, which is central to all varieties of Islam.
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I'd differ with Keith here on one point, when he rejects the claim that "Muslims are persecuted here as a single community". Or rather I'd distinguish. Muslims do not experience what I think it would be right to call "persecution" in Britain today. However insofar as they experience antagonism and hostility this liable to be is as Muslims.