The overwhelming majority of EU citizens did not vote to join the EU, nor did they vote in favour of the Treaty of Lisbon upon which the authority of the EU currently resides.
Nor do any of the citizens of the EU get to vote for the EU executive, or anyone who has any material influence over legislation (their MEP's can't introduce legislation).
In fact, majorities of several EU nations voted against the Treaty of Lisbon after which it was 'passed anyways' (I'm looking at you France), and after which the other referendums were cancelled because the elites knew it would would fail.
And of course UK citizens never voted to join the EU, they voted to join the EEC.
Most EU citizens want something like the EEC, with some nice freedom of movement. They don't want a hard or ideological political union.
Have a look at Pew historical polling, it's interesting [1] - it shows the majority of even very large EU nations actually wary of the EU - up until the 'Brexit scare'. After Brexit, this will continue to languish downward.
The EU has so many existential issues that it's facing, and it doesn't seem to want to suggest anything other than 'more political union' as an answer, which is clearly not it. (See the recent 'twinning' agreement signed by Macron and Merkel last week as an example of trying to get some political momentum going on the pro-EU side).
The EU needs to reform, but it can't unfortunately for a variety of reasons, and I don't see any meaningful path forward.
[1] http://www.pewglobal.org/2017/06/15/post-brexit-europeans-mo...