@old_school posted:agreed, it will settle the issue after the courts rule on it...I highly doubt it won't be challenged.
My wife and I are both fully vaccinated neither of our kids are at this time.
Remember the old signs in restaurants..."No shirt, No shoes, No service"?
Private colleges can do whatever they want but you're right the public colleges may have an issue requiring vaccinations.
However, as it stands now, elementary schools in all 50 states and DC already require vaccinations for diphtheria, tetanus, and pertussis; polio; measles and rubella (49 states and DC also require mumps vaccination); and the varicella (chickenpox) vaccination. So there is already a precedent for requiring vaccinations...might not be a stretch to add COVID to the list.