Splitting the Public and Private schools is basically the Public schools waiving the white flag saying "We can't win" when they have won so many times. I don't think schools like LWE, Maine South, and for sure ESL want to win a State Title knowing they might not have beaten the best. I would put Batavia in that group but many of their supporters are very vocal that they think it's unfair that Private schools recruit, but they pick and choose when they want to complain about it. They blew out Br. Rice, a CCL Blue team last season and all was fine. They struggle with MC and that's when it becomes not fair.
Does LWE, Swagger or ESL or any other school want to win a State Title when they know they possibly didn't face the best in the State? Could we have beaten LA or MC this year? Yeah we won the Public School State but were we the best? If that's what you want then your playing for a Ring that you'll wear outside the house twice, a trophy that will sit in your schools trophy case that you will see at the reunion, and a State Hat and Hoody that you will wear until your go to College and realize that you look like an idiot walking around campus wearing a High School shirt (don't worry you can wear these again when your in your 40's with little push back).
The Private side State Championship will be a snooze fest. Do they break that up by size? "We are the Private League Level 2 State Champions!!! We are the best mid level private school College Team in IL!!!" You would have to because if you don't teams like Laurence, Montini, Providence and DePaul will never be able to hang with LA, MC, SR, BR, Marist, JCA and Naz on a yearly basis, St. Francis will have a hard time too. All that will be is a redue and rematch of the Conference play.
So no, absolutely not, I don't want to see a split. I'm happy MC is moving to 8A, I'd love to see them play LWE and Maine South who will have the two top QBs in the State next year, while MC and LA reload at that position. It will be an awesome game. As Edgy suggested, start with seeding, FACTOR IN STRENGTH OF SCHEDULE, make sure that the #1 seed in the second largest conference isn't a school from the third tier of competitiveness in the CPS while the 2 two defending State Champion is seeded 19th. Baby steps....splitting the Private/Publics would be a monster step.