I don’t see a “compelling state interest” in having the classrooms of elite schools diversified. I do see a state interest in having policy makers and those in other high-status/highly paid professions, such as doctors, lawyers, bankers, etc. be of all racial and ethnic backgrounds. They can act as role models, and also, I hope, work to advance the interests of minorities.
But minorities don’t need an Ivy League education to be good doctors or professors or senators. What they do need are good elementary and secondary schools—to get them ready for college—and some financial help. Let’s put our attention and resources there.