The manner in which the school got the website taken down was via an authoritarian nightmare, so it's not exactly a false dichotomy in this case. If not for the authoritarian nightmare the site might still be up.

Though it's admittedly possible they could have eventually gotten the website taken down through less thuggish means.

The false dichotomy is that the two scenarios are presented as the only two options when they aren't the only two options. The use of "authoritarian nightmare" is the emotive language.