Extremism in the educational workplace

It's interesting. On the one hand:
"People cannot be fired for political beliefs"
And yet:
"You can be fired for your political views"

Some schools in the UK have been (and are being) investigated for potential radicalistion of pupils. Teachers can be fired for expressing their religious views (as potential indoctrination). In fact, some teachers can be fired or discriminated against for holding certain views (without even expressing those views in the workplace). Much of this happens without any direct effects on the pupils (other than the loss of a potentially good teacher). In other words, the pupils involved are not actually radicalised: the impact is minimal.

Politics is also an educational workplace.
Think about it.

Politicians are responsible for educating the population regarding national and global circumstances. They are responsible for causing fear of the future with the 'global warming' messages, when much of the information was unproven.

Concerning the EU referendum, people were reduced to tears as they felt their futures were ruined by the "Leave" vote. And the same is true of the US election, as seen by the protests and riots.

And yet, what we have is a clear case of political brainwashing, indoctrination with an irrational fear because the future is unproven. Considering the fear that has been felt by the people who have succumbed to such scaremongering, it could be considered an act of terrorism: making people live in fear unless they adhere to their views.

In fact, I will now be using the term "political terrorism" to describe the process of forcing people to believe a particular viewpoint by exaggerating the opposite position, and causing them to become terrified of a particular outcome of a democratic situation.

Such conduct is not allowed in schools, and is considered acts of extremism, so why is it acceptable in political circles?