Btw if you go to private schools now, they are very mixed at least in the Southeast -basically London's elite is now full of 1 percenters from abroad who come here to park their money, and who think their kids will benefit from a classy education in English, where the school invariably looks like Hogwarts. Successive waves of Arabs, Europeans, East Asians, South Asians and West Africans add to the mix.
The two most exclusive schools in the country:
Eton College kids (75% are Londoners or from the local area)
https://www.thetimes.co.uk/imageserv...2C1992%2C0%2C0
Harrow (also West London)
I'm not talking so much about race, but class that is a big definer in the UK, and haunts social division. If you're born working class, no matter how rich you become, you'll always be working class in the eyes of many, and vice versa. It's much more a 'thing' here than anywhere else in the world, and a big source of injustice (eg being judged on you accent, that can stop your career). People will openly mix between races and creeds, but often never outside their class.