It's exactly why the previous few right wing Governments have put less emphasis on people going into higher education, as it was 'spiralling out of control' and we were at risk of having an, ever increasingly, educated society (and not divided and conquered, like Britain bloody well oughta be).
I study voting demographics quite a lot, and it's pretty much the only demographic and stereotype that still holds true in the UK. The old fashioned upper/lower class one is dead, a middle or upper-class educated person is less likely to vote far right than a working class uneducated person, now.
And even the age one, isn't quite as clear cut. As that still is a by-product of the level of education. We haven't, yet, got a reasonable representation across the elder age demographics of people who have received higher education (through no fault of their own). As it's only really those who are now around mid 40s or lower where education has been more accessible. And it's the 40s demographic that is now the most interesting, as this is around the age where historically people would shift further to right, politically. But this no longer happening at the same rate, due to education levels. Will be interesting what will happen in 20+ years times when we have a good representation of educated 50, 60, 70 year olds...