I don't know what "sliding right" has anything to do with it. People need to stop assigning general human psychological phenomena to political parties.
Being authoritarian or blindly loyal is not an exclusively "right wing" thing. There are people who want it to be against the law to not use a person's preferred pronouns. That's an extremely authoritarian ideology.
And to put a fine point on it, using people's preferred pronouns is a good thing, in my mind. But making that enforceable by law I view as the same as if religious zealots made a law that you had to refer to religious leaders by their title "Father" and or "Pastor", etc.
This tweet is really poor at addressing the real point.