You should talk to someone properly left wing – they see state educational as a way of training the next generation of workers to be obedient and conformist.
I’d argue left-wing politics has moved into a more subtle area, that is cultural politics (promotion of diversity, sex education/permissiveness, along with choosing to study a historical narrative that undermines British culture) rather than economics these days.
I used to like the old school Marxists like Christopher Hill, who were explicit about their economic aims. My supervisor, who had studied under Hill, had largely abandoned traditional economic marxism in the 80s, whilst embracing political correctness and the diversity agenda, which included a very hostile attitude to what he called conservative culture.