Juncker isn't the MPs' leader. He isn't even the MEPs' leader. He is the democratically elected President of the European Commission, which is the executive branch of the EU. It advises on legislation, but doesn't vote. MEPs, of which the UK has more than almost any other country, votes on legislation and in many cases has the power of veto. MEPs are elected by PR, so are more democratic than the Houses of Parliament. I just don't get this claim that the EU isn't democratic.
There are a lot of unanswered questions about the status of the referendum and the conduct of those involved in the campaign. The facts were there, but drowned out by propaganda, appeals to the emotions and misleading information (lies). I would feel more confident about the future, if I were convinced that everybody knew how the EU works and what they were voting for. I'm not convinced and, sadly, people still come out with stuff which shows that they don't understand the EU and the consequences of leaving.
Cunco, do you honestly think that leaving the EU will remove the 'wedge' between Parliament and the people? I don't see it. The country as a whole is going to be worse off, which will mean managing the economy better for all, not just a minority. One way or the other, many people are going to be losers (almost certainly those already at the bottom of the pile), which will alienate people even more. Voting against the EU wasn't the answer. Whether or not the UK is in the EU, it needs a government which cares more about equality and has long-term strategies.