It doesn't work that way. If the vote had gone the other way, would the
anti EU people have suddenly stopped trying to get the UK out of Europe?
I don't think so. When the Scots voted to stay as part of the UK, did
the SNIP disband? No they didn't.
Why then should those who want to stay in the EU stop trying to
make it so? Why should the 'remainders' be expected to change their
point of view after a symbolic referendum, when those with the opposite
opinion would have done nothing of the sort?
The referendum result seems to have highlighted problems in how freedom
of movement functions in the EU. I'm sure a few tweaks at what could be
considered the extreme ends of population movement would fix that. The
UK government of all shades are also responsible for immigration
problems because they failed to control even the immigration they had
full control over. Immigration is simply easy way for rich countries to
get trained educated people, without having to train or educate their
own people.
Maybe if immigration was handled more like football transfers, an
element of fairness would be introduced. If a big rich country want
skilled people from a smaller poorer country, saving them the expense of
educating or training their own people, there should be some sort of
transfer fee paid.
The big losers with immigration are the poorly trained/educated in the
richer country and the countries that repeatedly lose their well
trained/educated people.
'Brexit' is probably the result of giving a vote to the poorly
trained/educated people in the rich country, in other words the poorly
trained/educated people are using an extreme method to try to fix
something that the 'smart' people should have fixed.