Universities should just pick camps and clearly proclaim which side they are on. If you want to do critical theory studies at a university which doesn't believe in objective truth you pick a University on that side.

If you want to study areospace engineering, or biology you go to one of the schools on team objective truth exists.

Or I guess you could do an electrical engineering at the objective truth doesn't exist university although I have a feeling enrollment might not be that high.

This process would be self correcting based on the quality of output of those universities over time.