President Biden isn’t mandating vaccines for all teachers and school staff, but he’s asking governors to require such school vaccinations… and to quit being bullies:
Let me be blunt. My plan also takes on elected officials and states that are undermining you and these lifesaving actions. Right now, local school officials are trying to keep children safe in a pandemic while their governor picks a fight with them and even threatens their salaries or their jobs. Talk about bullying in schools. If they’ll not help — if these governors won’t help us beat the pandemic, I’ll use my power as President to get them out of the way [President Joe Biden, remarks from the White House, 2021.09.09].
It’s not bullying for teachers, school boards, and the President of the United States to carry out their mandate to keep students and the public safe. It is bullying—political bullying—to deny schools the tools they need to carry out that mandate.