[Serious] Please convince me gender is binary

[The Grand Nudger]

No one pretends that there are no cultural norms, no one.  The only reality of the human species being discussed by gender conformity or non conformity is the reality of gender constructs.  There is no specific, species wide reality of gender whatsoever, regardless of the fact that we do or don't have a specific set of genitalia.   

Yes, but they are more and more pretending that cultural norms aren't to some degree the ideation of species norms.  "Gender constructs" aren't just made up by a toxic-masculine patriarchy out of thin air.

Determining that somethings a social construct does not mean that it's a product of toxic masculinity made up "out of thin air". 

That said, I don't think you have your finger on the pulse of what this thing is made up of by reference to your explicit assumption of a specific representation of binary heteronormativity.  You may view males as inauthentic caregivers and females as inauthentic workers but this much is explicitly cultural.  Not made up out of thin air...cultural.

- For Tack

Individuals don't determine gender constructs. They are supplied to us from before we can speak or remember that we couldn't speak. They form a part of who we are and what we implicitly take to be true, and because of this...we find folks like Benny asserting the things in his example..and we find gender dysphoria..and we find non normativism. They surprise us, for lack of a better word.

Now, this

I don’t think something as personal as self-identity needs a societal judgement or classification

I appreciate that you think that..but since legal protection hinges on these classifications ...and we're talking about a group that finds themselves ostracized, marginalized, disenfranchised and even brutalized by default of normative convention..until you can convince the nasty normativists to stop being assholes....yes, classifications will be required. Trans bans and bathroom laws and grab checks neatly lay out why, even if in a perfect world we shouldn't be having this convo..in this imperfect world it needs to be addressed.