Plainly we would not have voted to leave.
In my experience, broadly there were people who were 'sovereignty' fans and there were those who were worried about immigration, and quite often a member of one camp (particularly the former) would say that they were not bothered about the other.
A lot of it though was simply a fingers up to the 'establishment' as these things often are and why it was ludicrous to hold a referendum, though of course no politician was honest enough to admit that
Would still have swung it though
In 7 years time many of us may be desperate to migrate ourselves who knows