Am I to understand that your community is not usually interested in politics? Is that what you mean to say here?
How do you get this from 'we've been talking about it for years'?
The problem many Remainers had was that many genuinely didn't understand that many Britons wanted Brexit, because it hadn't been talked about in their circles. Usually urban, liberal, specialised job fields, where people were pro-globalism etc. These conversations usually happened in rural English and Welsh areas and within the North of England where we had been decimated and left behind owing to many many factors.
We had a Brexit vote based on this small majority (which it ended up being) of English people who wanted to leave.
From the POV of the Leaver, some Remainers came off as living in bubbles that didn't interact with the people who would be Brexit voters.
You are right that in the UK there is no real venue for this and the complex class system disallows for inter-party conversations just generally.
Many Leave voters, for example, we also lifelong Labour voters.
As were many Remain.
It's way more complex than it's being made out and the LSE article gets it pretty well.
Which is why I dislike being called 'wrong', since it's not an issue of right or wrong. I don't think those who voted Remain were 'wrong'. They had valid reasons for doing so.