Speech within the bounds of employment typically wouldn't be considered censorship since you're under a voluntary agreement to say specific things. For an extreme example, if a teacher just sat around talking about their failed marriage and gambling issues, few would consider it censorship since it obviously isn't within the scope of their employment. They're free to talk about it all they wish, they just can't get paid to do it in the classroom

Yes, but not specifically about public school teachers. "Democrats are significantly more likely than Republicans to favor stifling the free speech rights of political extremists. Also, Republicans don’t vary by the group: Only about half of GOP voters favor censorship — whether asked about the Ku Klux Klan, Nazis, or the Communist Party."