Is this a serious question?
The difference between the example I gave is astronomical. Marquette vs. Providence in anything, sports, academics, funding, boosters, population, geographical location, coaching staffs... we could keep going.
Imagine putting Jacksonville Routt on the same field as JCA... That's worse than putting a CPL program on the same field as JCA... it's going to be ugly... every single time. That's like Galena making the playoffs and their reward is a trip to Loyola...

Literally no one wants to see that...
I've long said the idea of "separating" privates and publics isn't that simple. The small private schools downstate are never going to agree to play in the same class as the CCL programs. You're going to have to split up the private schools as well.