Silly Jack. Vaccine mandates are legal. Any business, any company, hospitals, etc can require the vaccine as a work requirement. It's their freedom to do so to protect their employees, customers & patients & to have a safe work environment.
The Supreme Court in 1905 in a very famous case called Jacobson v. Massachusetts upheld a Cambridge City law, which required smallpox vaccination. That was something where the Supreme Court said that we don't have a right to place other people at risk.