The fact that the current Party leaders, Cameron, Clegg, Miliband and Farage are all from well off families and had a private education is not a problem in its self.
The problem with the Government is that Cameron has promoted his Eton school friends into important jobs, so that the Cabinet itself has a very narrow experience and has no idea how the rest of the country lives.
Margaret Thatcher and John Major both had grammar school educations and proper jobs before embarking on a political career. The present crop of career politicians have a wealth of inexperience which often shows in their crass behaviour.