If you are a Brexiter, perhaps remember that UK is well known in other countries for being a class-society. EU is generally less class-centric.
I don't see how cutting ties with a more egalitarian continental EU would help reducing the class inequalities that still are so ingrained in the UK society. (Such as the massive tuition fees that keep working class people in their place.)
But perhaps Brexiters just like that type of segregation?