I'm not sure that it makes sense to target STEM graduates in this way. Most of them would receive visas based on their high salaries whereas an explicit rule would only serve to increase the number of low quality STEM degrees.
Yeah that did cross my mind, and now that it's been brought up, I'm inclined to think you are right.
I just learned that a bunch of acquaintances lost out on their H1B lotteries and will be shipped out of the country to international offices once their OPT terms end in 1-2 months. Since they were employed by strong companies, their salaries likely would have been high enough to qualify them for H1B visas under a system you propose.
