In the view of Professor Eugene Volokh:
[Y]ou should feel uncomfortable about people being forced to use "ze," which expresses a view about gender that they might not endorse. And, more broadly, I think we should all feel uncomfortable about government regulators forcing people to say things that convey and support the government's ideology about gender.
This blog reflects the views solely of its author. It is not intended, and should not be regarded, as legal advice on how to analyze any particular set of facts.