No offense intended, but I'm pretty sure that none of what you mention here is accurate. Local school districts have no recourse if a student decides to opt out of vaccination. State law overrides local school board decisions. If there is evidence to the contrary, I'd like to see it. As for public universities, I am less familiar with the requirements there because I don't know anyone personally who has (yet) dealt with that situation, but I'm pretty sure that Alabama colleges and universities are similarly required to grant religious exemptions from vaccination. I know that some actually do. For example, here is a link to UAB's religious exemption form for people to opt out...
https://www.uab.edu/students/health/images/DOCUMENTS/Religious_Exemption_Form.pdf
I'd also be surprised if Title IV of the federal civil right laws don't come into play if colleges or universities try to block students who refuse to vaccinate. Students simply do not have to vaccinate in order to attend college if they object on religious grounds. And of course, the above only applies in the case of historically "usual" vaccines like for measles, mumps, hepatitis, etc. In the case of the COVID vaccine, there are more specific options for opting out, at least in Alabama. For example, here is some recent guidance from the state attorney general...
Per this guidance, institutions of education, both public and private, cannot require students to provide their immunization status as a requirement for attendance.
Look, I am a proponent of vaccination and think almost everybody should be getting the shots. I understand the frustration people feel about it. It rankles a lot of people that people refuse to vaccinate and cannot be forced to do so. A lot of people seem to really want it to be true that schools can force students to vaccinate as a condition of admission, but it just isn't the case. People can opt out of these vaccines and attend school and their fellow citizens cannot do anything about that. It's just part of living in a pluralistic society. Which is generally as it should be, IMO, even though I think people should get the vaccines.