edappleandaquamarinebow1987
What suggested, to me at least, that you may not be from the UK was your reference to "public schools" to mean what we would call "state schools". In the UK, a "Public School" is a very elite, private school. Eton and Harrow are "Public Schools". (I believe that, in the US, "public school" = our "state school". Are you from the US?)
I would not vote for the current Labour Party for many of the reasons raised above. In particular, I find their stance on education to be in line with the lowering of standards, "had-enough-of-experts", lowest common denominator mentality that currently predomnates. The Shadow Education Secretary is somebody who did not complete her education. That she should have influence on the future of our world-leading universities does not strike me as admirably democratic, but as horrendously anti-intellectual.
(Additionally, I am not, and do not pretend to be, a socialist; I am probably a Classical Liberal. The Liberal Democrats are my party of choice, though they are to the left of Classical Liberalism. I fully support the European project, which is undeniably (neo)liberal. Corbyn, as a hard-leftist, unsurprisingly does not.)