Yes, that is unfortunately the case. Exactly this is creating a feeling amongst many of us that something is fundamentally wrong with the EU as governing and legislative body. Of course, you could reverse that and say: People have to inform themselves properly. But that's just the situation were in right now.

One could say the same thing about americans and it would probably just as true/false.

Me personally I'm not into that kind of generalisation.

It is taught in schools all over the EU, but the EU is a "new" thing.

I believe most Europeans don't know much or anything about the EU, because our states retain a lot of power, so we already have enough to deal with.