Okay, so pretending for a second that what you're proposing was legal in this country, which the Supreme Court has said it isn't, let's look at an example. So let's say all of the money generated by Xavier Men's Basketball was kept within the program and the players shared the profits after coaches, scholarships, travel, scouting budgets, etc. That means the other 230 student athletes at Xavier would cease to exist. None of those sports could cover themselves for one day, so they'd be gone. So now instead of graduating 230 former student athletes, who by and large become far more successful adults than regular students, you graduate only 12 really wealthy basketball players. So now those 230 kids can't afford to go there, so Xavier loses them, which means you have to cut faculty and services (230 x $40,000 x 4 years is a lot).
You think that model, extrapolated across 350 D-1 schools, is the right answer? At most schools football would be example, not hoops, but the net result to the school is the same -- or far worse.
Again, if your suggestion was even legal, which Title IX prevents. Paying the QB, and not the libero, won't fly.