Anyone who has direct contact with patients and is physically able to get vaccinated, but who refuses, either should be terminated or shunted off to a position where they are alone and cannot infect others.
BTW, you are correct that it's not just Qpers who refuse the needle. NBC Nightly News has featured quickie interviews with various people of color, who are likely not Cultists, who have stated that they are reluctant for various reasons. The main one given is "it's experimental." In reality though I suspect that a good number of the unvaxxed are phobic about needles. It's surprisingly common.
I have a passionate hatred of needles. I get stuck 4 times a year. Plus the flu shot. You wouldn't think, being a machinist and constantly pulling metal chips out of my hands.