People with STEM degrees have lower unemployment, and higher salaries. To say there is a "glut" relative to humanities is silly.
This really depends on what part of STEM you studied.
I have some colleagues with PhDs in either Chemistry or Physics, and they all tell me the same thing: if you go for a career in one of those two sciences, you should gear up for going through PhD level and then several minimum wage post-docs and then pray to your deity of choice that you are hired for a teaching position or something in industry because if you are not, you have become so specialized that you are unemployable.
I may have missed a few details, but the refrain is the same: some people do very well in those fields but most people are chewed up and spat out with very little to show for it. People with the brains to get to those level in those fields would be well-advised to choose some other field if they care about their future career.
As for me, I have a "lowly" degree in the Social Sciences and I'm happy with my career progression.