Seems like you've answered your own question and don't like the answer. They are free to make this requirement and you are free to work elsewhere.
As an "essential worker" I voluntarily opted to vaccinate months ago. I chose Moderna. Honestly I'm tired of the pandemic, I'm tired of PPE. I had hopes of some "normalcy" but it was short-lived.
I don't have the time or energy to sort the fear porn (oh no! it's delta & lambda coming to get you!) from reality. I wonder if Biden will put us in lockdown for the holidays because it's looking pretty clear covid isn't going away this year.
Oh, we’ll still have to wear masks.