Just claim it’s the Mark of the Beast; that should end it right there.
Good companies will NOT start a fight with employees: the labor market is tight, good workers are hard to find, and nobody wants a PR donnybrook nowadays. Jackwagon private sector non-healthcare or educational employers mandating that employees vaxx up without exception are still in the minority
Now, yes, of course....the mask is nonsense. And my body, my choice. But many employers are in States or industries (like aviation...) where there ARE mandates and it's not "guidance." So it's often not the case, that senior management are all Fauci Fans. But they have a business to run, they have to make customers and employees happy, and have been handed a lousy hand.
If a reasonable employer asked me to "play ball," and I've been treated swimmingly, I'll play ball. After all, HR reps talk, and if I burn bridges calling senior management names on my way out the door, I'll either have to work for myself or live in a van down by the river. Reputation is hard-fought, but easy to lose.