Perhaps the main parties need educating that they're elected to represent the people?
If a referendum was to be held, I have no idea which way it would go, but that is the whole point of democracy....representing the people's views. To deny the people the referendum, especially as feeling are running so high, is wrong.
My views are well know: I think the only good thing to ever come out of Europe was the Train/ferry back to the UK.

Of course it'll fit; you just need a bigger hammer.