Well I can see why people would not want to be vaccinated, or their kids vaccinated, w/o full FDA approval. I don't agree, but I can see it.
But there is no valid scientific basis to disagree with the fact that with the vaccine you are less likely to get the virus, and simply by virtue of not getting it, be less likely to pass it on. So, those arguing they shouldn't be fired if they don't get vaccinated, are saying their right to autonomy is superior to an employer's duty/right to keep his customers and workers safe.
THAT is not the law. An employee has no right to a job, and an employer has no right to force an employee to work. The rights are COEQUAL. An employee can look to his/her health as they see fit, and an employer can look to his/her interests in non-infected workers and customer.
And it's a little different in education. A child has a legal right to participate in publicly funded K-12 education. Not to derail the thread. But that situation can't be comparable to a work situation, where there's no right to a job, and no right to an employee filling a job.