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.
We aren't a libertarian state, and freedom of association hasn't existed for US businesses for 60 years; so asking whether or not the government grants freedom of association to businesses in this particular instance isn't very interesting to me.
A far more interesting question would be whether or not businesses have the right to fire employees who are vaccinated. I suspect the courts would look at that question very differently than they would firing an employee who wasn't. Assuming that is the case the government is picking a side, and to the extent that the government picks a side I want it to be mine. So in the present where businesses do not have freedom of association I do not support it.
I would support the government allowing businesses to fire employees who are not vaccinated if I can fire those who are. Or those who are black, or gay, or trans, or communists (a protected class in some states). Once that was all out in the open I could survey the field, pack up my things, and live out the rest of my days in a community more aligned with my values.
But this whole "free association for thee but not for me" bullshit isn't going to fly.