Is there a push, in the United States, to use gender-neutral language and gender pronouns (when they are given)?

I have just read a tiny fraction of a huge amount of content generated by the apparent abusive dismissal of an important moderator from the Stack Exchange network.

An answer that tries to explain one of the main reasons behind all this includes this:

Cultural Background: In the United States there has been a push to use
gender-neutral language and gender pronouns when given.

This topic has created quite a storm across the network and a lot of moderators resigned or took similar actions. I am wondering if this "push" is also important in the US politics.

Question: In the United States, has there been a push to use gender-neutral language and gender pronouns when a person expresses a preference for a particular third-person pronoun to use to refer to her/him/them?