I think you mean "what if the men and women think men and women should be referred to by different pronouns". Can't use "they" any more, remember.
But everyone is free to think whatever they want, so long as they don't go around telling other people how to live their lives when it's not hurting anyone.
This is nothing but a distraction from lecterngate. Sarah Huckabee Sanders used taxpayer funds to pay for a personal trip, then had the Republican party expense a $20k podium from a company that has never sold a podium before to try to hide the embezzlement.
So instead of using they like a normal person would, they have to use something like s/he throughout entire documents? How clunky and ugly that must be.
Reminds me of when North Carolinas own oceanic and atmospheric agency published a study on the negative effects climate change will have on their coastal towns, and what they need to do in response to that.
So their state government responded by banning the use of terms like climate change.
To conservatives, cultural war is a real issue. It's not like they care about anything else, as far as their concerned they're going to heaven one way or another. Why plan for today when you can be happy about imaginary tomorrows.
If they don't keep people fighting about who can marry who or who should have control over medical decisions, people might start fighting about things that will threaten their wealth and power.