I'll get into the deets later (maybe), but there was one speaker at today's Brexit rally who admitted he voted Brexit. His reasons (which I had previously seen expressed) were
- he hated Cameron

- He hated austerity

- He was sure remain would win

I totally sympathise with that. It's one of the reason I wished we had STV. You can protest vote without throwing your vote away (OK, not in a referendum, so it's not entirely relevant).
But my point here is some/many/most(?) Brexiteers were actually protesting the government. It's a (shudder

) tribute to the duplicity of Boris - Eton educated and literally played cricket with Prince William the day after the vote - and Farage - merchant banker both in the literal and rhyming slang meanings - that they convinced the electorate that voting with them was somehow anti establishment.