Nobody is forcing anyone to be vaccinated. All they're doing is saying that "if you want to do X (whatever that is) you have to be vaccinated".
Some parents are intelligent enough to know they're not intelligent enough to home-school their own children. Employment schedule or other obligations may eliminate that option.
While at some level informing a parent their child will not be allowed to attend public school unless the parent can prove the child is vaccinated isn't "holding them down", the differences may be immaterial, the outcome the same.
There are some important questions about whether these vaccination prerequisites are Constitutional. The 14th Amendment enumerates "equal protection of the laws", persuasive arguments on each side.
These taxpaying voters pay into the system. And then government tells them they can't reap the benefit of what they've paid for unless they jump through additional hoops. Non-zero risk.
I'm hardly anti-vax. I got 5 Pfizer COVID-19 vax. before patient-retained vaccination records were abandoned.
It's a mistake to allow personal bias to obscure such issue. I may favor one side of it. That does not
That's very different from holding them down while they're being given "the jab".
The line is currently drawn.
Where that line is currently drawn is not a problem for some, a problem for others.
Within a population of hundreds of millions, where that line is drawn will affect some, not others. We should know by now, declaring that acceptable is bad karma.
"There is no law that says we have to go to work every day and follow our employer's orders. Legally there is nothing to prevent us from going to live in the wild like primitive people or from going into business for ourselves. But in practice there is very little wild country left, and there is room in the economy for only a limited number of small business owners. Hence most of us can survive only as someone else's employee." Excerpt from Unabomb Manifesto: author / convict / mathematician Theodore Kaczynski; sentenced to Lifetime imprisonment without possibility of parole