FF mentioned that the broad left might have problems with the power on the banks, national and international.
I think this power is core to a lot of peoples problems with the EU.
UK sovereignty seems compromised by the banks , which " had " to be saved at any price , apparently.
The EU (and the Eurozone in particular) seems to be in the grip of the banks, and especially the unbelievable behaviour of the ECB, and the imposition of compliant governments from the centre.
Personally, I would have a lot less of a problem if the EU was genuinely run by a democratic European Parliament, and not, as it seems to me, by huge vested interests with the banks at the heart of it all. (Check what the ECB is really doing with QE money for proof).
I trust the French or Italian people to elect good politicians, as much(or as little) as I do the British people. What I don't trust is the underlying structure that is allowing big money to run the show, our show,...the tail wagging the dog !