However, even if the work has a strict "no politics" policy, if Bob does have significant prejudice against transgender people, then having Bob in the workplace with Alice at all potentially puts her at risk. There doesn't need to be a conversation about trans rights for him to know that she is trans, and for that to translate into harassment and even violence.
I don't have a solution for that problem. But that doesn't mean it's not a problem. And it's not a problem that's solved by prohibiting employees from talking about controversial topics in the workplace -- which is the argument that was made by the poster I was actually responding to.
*Dammit, I did it again! Sorry.