If a bank collapses in the coming downturn then most likely they will call on the govt to get them out of trouble whether we like it or not. Reference AIB in the 1980s - would have gone bust without the govt. Also reference current Fitch ratings on the banks which clearly states they have lent too much.
And why would the EU allow this blatant government interference in the market? They weren't too accomodating to the Belgian government while it's national airline was going down the tubes... I don't see why our banks would be treated any differently.