So the traditional answer for these two groups (at least the ones in America) has always been "businesses have the right to fore any employee for any reason".
Now I get the sense that with the massive corporate abuse of power on free speech as well as this subject, opinions may be shifting.
But I am very interested in knowing what people think about this and why.
As a "conservative", the answer is no; full-stop. Government should enforce objective morality. That is to say, government should only allow businesses to do the right thing and not the wrong thing. Liberty to be evil is no liberty at all since evil always uses liberty to oppress good people.
The argument of "well what is right and what is wrong?" is a trojan horse for evil to seemingly have a good argument for why liberty to commit evil should exist within a society. Good men know what is right and what is wrong.
Businesses should not have the right to fire employees who are not vaccinated, period.
I think libertarians are fools and only help leftists assume control. Once evil utilizes the freedom given to them by libertarians, evil turns around and strips those freedoms from good people. In the end libertarians accomplish nothing except secure their own doom in the name of liberty.