we live in an indirect democracy system.Take back control. That's a massive idea that produced a strong clear feeling. Who knows how many people voted because of that alone. Now you can argue we won't have more control after Brexit and with May's deal that could well be true. But at the time - what a great idea. Control. Take back control. Democracy. Power to the people. Taking power back from unelected officials. That strikes a chord in anyone who loves freedom. Again - this is all about feelings. So those who think the world is run on 'facts' will hate this idea. But there it is.
taking back some shared control from the EU then what? to give it to a bunch of self serving idiots behaving like school kids every Wednesday at noon.