>>510327660 (OP)No. Just enforce high education standards. College used to be a rare achievement that required talent, effort, and discipline. There are around 18 million students per year, half of which at least are women. If you increased the standards to bring in the top 5%, that wipes out 95%+ of women in higher education.
So the breakdown should be:
College students- 5% of the population
Community college students- 10% of the population below the 5%.
Trade Schools- 20% of the population below the 10%.
35% of the population is now engaged in higher education according to ability rather than immutable characteristics. Competition is fierce and they don't let idiots in. It's a guarantee that most people in school in this system would be White, Asian, with the rare token Indians and Blacks.
But what about the rest of us? Easy.
On-the-job training based on a revised SAT test. Rather than being "hard", it's a scaled test, where it has easy stuff and hard stuff. You keep going until you are failed out. So for example, the math portion starts as basic arithmetic and logic and keeps progressing until you're getting into brain-melting math. You are graded based on how far you can get in each discipline. This is represented by a circular shaped graph. Visually, you can look and see how smart someone is at a glance (pic somewhat related for visual reference).
tl;dr You don't ban them, you just bring back the old standards but with newer metrics to better divide and disseminate labor.