I agree with the skin in the game concept as an important component. One form of this skin in the game concept might be reasonable qualification standards for admission and continuation. Most public Universities have those in place. In other words if you are a slacker you're not likely to be able to qualify.I am for reasonable infrastructure spending. The problem is that government tends to waste money on bureaucracy and are too politically correct to say that engineering is a more worthy field to support than music history.
Also, you couldn't make it "Free" like Bernie is pushing. There has to be skin in the game for adults to pursue education.
I don't think it is workable to get into a debate on the merits of this or that discipline. Having to fund things we're unenthusiastic about, to put it mildly, I suppose is one of the downsides to democracy. The nice thing about anarchy would be that we'd get free rein over what we spent our money on, assuming money still somehow existed.