I think you are describing the beginnings of a new divide in the UK - not on the traditional left (Labour) versus right (Tory) lines, but along newer lines which Brexit may not be actually causing, but certainly highlighting. On one side you have the 'chattering classes', the internationalists, the younger, the liberals, the Greens, and many Scots - (quite a mix), while on the other you have traditionalists, nostalgics, working poor who feel ignored by Westminster, Tory 'Shires', the more elderly - (also quite a mix). It's very similar I feel, to the divide between Trump supporters and Trump haters in the US. I'm not sure the divide would be the same if was a different situation, i.e. non-Brexit, but the old divides are definitely beginning to be replaced with new ones.