Then why did so many vote extremist anti EU? There just has been EU election in germany and the nationalist gained a lot. And none of the big parties otherwise said a clear no to that, so what could I do, except vote a small party against that, but too small to really do something?
Voters care. But they see often no point in voting anymore.
There are many nationally disgraced politicians seating in the EP, EC or council. Only the ones in the EP were electible.
The people have correctly identified that a massive supranational unaccountable government is the problem, enabling corrupt people to keep ruling which undermines the core functioning of representative democracy.
So, even if they might not be explicitly elected to be in the EU governance, most of them have reached that spot through more or less democratic means. "More or less" because Prime Ministers are usually nominated not elected, but that's still as part of each country's democratic process.