First, these are completely legitimate opinions which have nothing to do with hate speech. Second, last time I checked they still mainly reposted things. Third, the fact that you think that people should be fired because of their private beliefs which have nothing to do with their job is alarming. Imagine you would be fired for one of your opinions on sex/gender/pronouns etc even though this has nothing to do with your job.

You don't get to say "non-binary isn't real" in a workplace when some of your colleagues are or could be non-binary. That is absolutely a hateful, illegitimate opinion.

The Colorado State University image is basic manners when it comes to trans people. It is part of diversity training at any decent workplace, and there is no legitimate reason to object to it.

The view that there are only two sexes is completely mainstream in biology:

https://www.wsj.com/articles/a-biologist-explains-why-sex-is...

> That is absolutely a hateful, illegitimate opinion.

An opinion can be true or false. That it is allegedly motivated by hate is a baseless accusation. It can be claimed about anything. "Don't believe God exist? Must be hate speech! Punish him." This all happened before.

>Retract and apologize, now.

What are you going to do, bully?

Just convince other people about the falsehood of the opinion.