I know you for a sensible woman Gilly so we will agree to differ on that one!
I was reading an article recently which talked about the difficulties some cultures had in fully integrating. One point it made was this; those of central European origins, as an example, being mainly white will integrate within one generation as, apart from language, they are physically indistinguishable from the average Brit and their children will learn to speak with local accents.
Those of Asian or Black origins will not have this option as their colour will single them out.
It is of course more complicated than that, if we take religion, culture, etc into consideration, but I am happy when I see an Asian or Black person speaking with a Scottish or Brummie accent (for example) and wearing clothes from the High Street. This seems to say that, for me at any rate, I am happy to welcome others into our country providing they make an effort to blend in. Sounds reasonable to me.
British values include knowing how to queue correctly, a value not shared by the Italians I'm sorry to say.