Because you're not forcing something on anyone. You're making it a condition of their employment. The employee is not obligated to remain employed, therefore you're not infringing on their rights.
Also, merely asking someone about their health information is not a violation of rights.
The consensus in the medical community I'm a part of is that the vaccines are working as well as we could hope. The severe cases of COVID we are seeing are among the the unvaccinated with VERY rare exceptions in individuals we would expect to not have a robust immune response from any vaccine (transplanted individuals for example). We are following the science very closely. It's nice with personal experience reinforces the conclusions of these studies.
Making something conditional on their being able to afford to economically survive is extortion.
It can only legally be done if absolutely necessary.
For example, an employer can not demand a pregnant employee get an abortion, since the 2 months or so time loss does not warrant firing.
Asking someone about their health information is not a violation of rights, but firing them if they prefer not to say, most definitely IS a violation of rights.
It would only be legal if the health condition effected the company in some significant way.
And vaccinations do not.
And you are ignorant of what the medical community thinks of these experimental vaccines.
Most doctors and nurses I talk to think they are incredibly stupid or dangerous.
And you have this backwards.
Since the only severe cases causing death are when the immune system over reacts with a cytokine storm, a person with an organ transplant who is taking immuno-suppressants, is the least likely to die and should be at no risk at all from covid-19.
You have not shown you have really thought about the implications of these mRNA vaccines at all.
For example, since they only contain spike proteins, then what happens if they teach the immune system to attack all spike proteins, such as the spike protein our own exosomes use?