Brexit The way I see it is: Since WW2 the UK has swung from left wing to right wing. One side is voted in because they appear to have moderate policies and the other side has become too far left, or right, depending which one is in power. Once in power they become gradually more extreme while the side in opposition creeps quietly to the middle, and so it goes, left, right, left, right. Each side occasionally has a bit of a makeover but the left wing right wing basis is still there. Why would either side embark on policies that will result in being voted out of power? It has to deliberate, the Establishment giving media coverage to two parties so that the majority of voters can be influenced not to break out of the pattern, then the left right swing gives an illusion of democracy whilst the Establishment runs the show.
Trouble is the Establishment influence in trying to keep the UK in the EU is starting to become a little bit obvious as a hard Brexit would seriously unbalance their political seesaw system. Will enough people see through it all to change it? I doubt it.