Difficult question to answer, and need to answer if carefully.
If Chinese, Indians, Africans, Koreans, Vietnamese, Korean immigrants can assimilate to British values (to varying degree but a lot better than from Muslim nations), then I don't see why immigrants from Muslims nations should have the understanding to do the same.
Then again depends which Muslim countries.. Muslim populations are not all the same. And you also have to take the background into consideration. Importing a few very educated families from a country with a long history and a lot of culture such as Iran would be far better then importing whole villages of people with little education.
But for this reason the state should be doing everything possible to not encourage such thinking and practice. I feel the Sharia law is an obvious issue for a start for example. And under this means of thinking, I feel banning the burka would be a good thing (reasons already given in the past).
Well I don't think banning it completely the thing is going solve it. If anything it would make it more popular. Better give people the right to discriminate against niqabiyyas and refuse to interact with them professionally.
Btw: it's not about blaming individual immigrants per se, absolutely not. I think, it is about taking actions on the pillars that influence the masses.
ditto