I think that's backwards. Make Science/Engineering cheaper and liberal arts more expensive... arts degrees should be considered luxury items: nice to have but not strictly necessary. I think many people would be better off not going to University than get an arts degree, whereas there is huge societal benefit to pushing out more scientists and engineers.
Liberal arts should exist, just at a much smaller (frankly, more reasonable wrt actual demand) scale.
Liberal arts should exist, just at a much smaller (frankly, more reasonable wrt actual demand) scale.