The legal profession should probably be socialized, yeah. I don't really know how you'd accomplish that and obviously it would be politically impossible, but any legal system where rich people are able to buy more/better legal representation than poor people is incompatible with most basic ideas of liberal democracy.
Yeah, I'm surprised there is no one pushing for this more. It seems rather obvious to me.
Right-wingers hate lawyers but they also hate socialism. And left-wingers love socialism but also love lawyers. So it's never gonna happen.