Indirect collateral damage is inevitable. That's not what you propose. You propose intentionally punishing not only innocent people, but people who aren't even associated with the football program. Intentionally and directly punishing the baseball team for the transgressions of the football program, AD, and president is a Fecunditying joke.
If your logic held, you would keep our women's team out of the NCAA tournament this year because they play the same sport, on the same courts as the men team. It's not enough to punish the innocent players on the current team, let's go after other teams to make sure academics are taken seriously, right?
And once again, NOBODY, has said let's not punish the institution. Do us all a favor and just change your handle to "StrawmanMuntz". That way whenever someone new joins the board they'll already know what to expect.