Actually, you bring up an interesting aspect that I hadn't touched on or thought about yet.
That being, the country of origin.
Pakistani has been the the lion's share from post-ww2 through 2010.
However, things shifted a little bit after that and (if the stuff I'm reading is accurate), there's been a huge uptick between then and now from the following groups.
Afghan
Syrian
Sudanese
Somalian
(and to a lesser degree, Iranian)
I can certainly see where that would be a new wrinkle that would change the dynamic a bit.
Pakistan is notable more progressive than other Muslim countries on certain issues. (it's a low bar, but a little more progressive none the less, they had the first female prime minister of any Muslim country, and passed laws such as
this).
They were also the same country where clerics issued the following fatwa:
It declared that robbing LGBT people of their share in inheritance was unlawful and that parents who deprive their sons/daughters of inheritance for such reasons were “inviting the wrath of God”.
It went to the extent of terming ‘haraam’ any act intended to “humiliate, insult or tease” them.
The fatwa ended with a word on last rites, declaring that all funeral rituals for a transgender person will be the same as for any other Muslim man or woman.
The clerics who issued the fatwa included Imran Hanfi, Pir Karamat Ali, Abu Bakr Awan, Masoodur Rehman, Tahir Tabassum Qadri, Khalil Yousafi, Gul Ateequi, Gulzar Naeemi, Intikhab Noori, Abdul Sattar Saeedi and Khizarul Islam.
So to use a domestic example involving our largest religion.
I can see where the people in a progressive SoCal town would have no problem coexisting with (and continuously having new arrivals from) people from the Episcopalian or Unitarian sects of Christianity for a long period of time.
However, if there started to be a large influx of Pentecostals or Southern Baptists from the deep south that started moving to their town in large numbers, I can see where their viewpoints on "Having a bunch of new Christians moving in" could change swiftly if the inflow became large enough that they started to gain some political power in the area.
There's also the differentiator between an immigrant, and a purely economic migrant (or a migrant fleeing violence).
With the former, there's a higher probability that the person was moving to UK specifically because they wanted to live and exist in a more open-minded liberal place, whereas with the latter, it can often be a person who was perfectly fine with the theocratic aspects of their home country and would have preferred to stay there if they could, but they merely wanted to escape a bad situation.