It's easy to cry about bureaucrats. The governments of the member states agreed to freedom of movement. That was a long time ago, with fewer member states, but when Cameron tried to get restrictions on it the other countries didn't jump on the bandwagon with him.
The Dutch PVV tried to score points with the public a couple of years ago by agitating against eastern Europeans. It only earned them a modest popularity boost at best, and you rarely hear about it from them nowadays. They've returned to their usual tropes of bashing Islam and the European Union on more general subjects. Freedom of movement isn't controversial over here, even if the EU itself is lacking in popularity.
That there's going to be some sort of compromise between the UK and the EU almost goes without saying, but it's not going to give the UK the same kind of market acces it has today. Even if only for legalistic reasons - you simply can't be part of a trade bloc and retain the ability to negotiate trade deals with third parties, which is one of the government's stated goals.
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