Clearly it has become a political position. A progressive way of thinking about this move is to depoliticize it by making it the enforced norm because it's a stupid thing to politicize. A cynical view is that it'll force non conformers out.
But its hardly novel to make government employees do politically slanted things. I'm sure a lot of government employees on the democrat or neutral side felt strong opposition to demands made of them during the trump admin.
COVID vaccination may have become a political position, but vaccination in general is not. Where are all the debates about MMR, hep-B, polio, etc.? We have required vaccinations in our children beginning in infancy for generations, and I am not hearing any governors or representatives saying that we must end the practice.
Each of these illnesses you state is multiple times more serious than covid. And each of their vaccines had the clear benefit of being an actual vaccine.
Covid was the third leading cause of death in the US in 2020. Just because it’s not a uniform risk profile across the population does not make it an unserious disease.