The principle of requiring healthcare staff to get the vaccine is already established. Most countries in Europe already do this. This is not the same thing as requiring all employees to be fired if they fail to have a medical procedure that the President deems necessary. Your point, however, is totally anti-science: 500 years ago, would you ask for someone to be fired because they didn't use the appropriate amount of leeches? It is amazing that the people who go on about this kind of thing don't understand basic elements of what science is.
So your employer is allowed to sterilise employees with disabilities? Perhaps only those employees with mental illness? If you question whether this is realistic, this happened in the US 70 years ago, and the very same principle was used to sterilise disabled people en masse. The ends do not justify the means, this is ubermensch ideology (only those who can rise above morality and do things that others are unwilling to do will possess the future...it is madness, it is something that hasn't existed in politics since the 30s...and, to be clear, it existed in the US too).