That's exactly the point. The "too much immigration" stems from the automatic access Europeans had to live and work in Britain. But Farage used the scare mongering tactic of illegal migrants from Africa and Mid East. He promised "take back control of borders", but nothing of the sort has occurred.
Instead, it's the ordinary working Europeans that are denied entry (unless they choose to arrive illegally now).
Denied entry ?
4.2 million EU citizens applied for and were given status to remain in the UK after Brexit - about a million more than was expected.
Any EU citizen who wishes to move to the UK faces exactly the same immigration process that you or I would face if we wished to move permanently to say the USA or Australia.
Is there are job available that couldn't be done by a UK citizen ? Can we afford to live in the UK without becoming a burden on the state ?
Exactly how is the UK any different from any other country with control of its own borders ?