If I recall correctly, there was talk that Europe was trying to get Britain to bring our benefit payouts down to the levels that, for example, Germany paid. The grand project to get people desperate to work for low, low wages (this was slightly before the boom in outsourcing to China, or maybe in response to the early signs of it).
Britain said no; surefire vote-loser. Was that Blair/Brown? I forget. Svejk posted a story about that latest book about Blair and the flood dates back to his first and second terms.
Germany was having riots about Turkish immigrants ~10 years ago, so it's a long-standing prop of cheap production there. If a Beemer costs nearly the same as a Ford, what are easily-impressed people going to buy?
Job availability is still finite and migrants will shuffle home when their dreams of wealth get shattered, in slave-camp Europe. So "the whole of Turkey" will not be coming here.
Pity my thread about sewage plants didn't generate much interest, because that's going to be the great smell of Merkel's EU, before long.
Infrastructure can't migrate.