Be careful with such posts. Anxiety-provoking posts and any post suggesting that all immigration is not entirely positive without even a scintilla of negativity for all involved will get you marked as a right-winger. That is a term of great derision, if not of absolute damnation.
On a serious note, I am aware of many non-EEA migrants, particularly those from the Commonwealth countries, who feel the same way. One of my work colleagues, who did not just vote for but also campaigned for Leave, felt that people from Commonwealth countries have to go through many hoops to attain British citizenship, while EEA citizens just waltz in on the basis of the EEA passport and don't appreciate British citizenship as much. It is also felt that there is a lot more in common between people from Commonwealth countries and the UK in terms of language, appreciation of similar judicial systems, etc, as opposed to between EEA citizens and British citizens, whose cultural expectations do not match to the same extent.
Again, remember that the UK has been in this position before. Before 1962, anybody with a Commonwealth passport could waltz into the UK with their Commonwealth passport. As the winds of change swept the world, there was a fear of a tidal wave of immigration and the rules were tightened quite a bit between 1962 and 1983, with the Immigration Act 1971 still being the law governing non-EEA immigration to the UK.
The UK entered the EEC in 1973, in the company of countries which were on par in terms of broad lifestyle. Whether the A8 & subsequent A2 expansions was a wise decision will be for historians in a hundred years to reflect on. Be that as it may, now that it is again the desire of the British people to tighten the rules on immigration, it was made very clear that the only way to do that was by leaving the Single Market. Thence the road that we are on.
I have no doubt that in another 40-50 years, we will be revisiting the same debate again. Plus ça change
Now stepping aside, waiting for the fireworks...
I am not a lawyer or immigration advisor. My statements/comments do not constitute legal advice. E&OE. Please do not PM me for advice. Being a Respected Guru does not mean I know more, it just means I can google better. Google knows it all.