gender, not sex, is the society's 'split'.
I disagree because for any society to work it needs to have the ability to continue in a positive direction. This requires reproduction and for there to be some level of hierarchical structure behind what is perceived as a better 'mate' (a more desirable man, more desirable woman). This necessitates that society have some structure around sex categories and have enough emphasis on these categories as to allow such hierarchical structures of desirability to form coherently. Any society that fails to do this will end up in a situation where each successive generation becomes less and less likely to keep the society stable and less and less likely to advance society in a direction deemed positive by said society (thus it leads to chaos and the collapse of the society).
If gender is truly separate from sex then a working society cannot be split based on gender instead of based on sex, as otherwise it is a society doomed to collapse. Furthermore, what constitutes the understanding of gender and of sex makes it so that a society cannot appeal to them on an equal level, one must be prioritized. With how similar a role they function in most scenarios this would lead to one, the dominant, absorbing the role of the other and lead to a society where there is no split based on one of those categories. This means that if gender is the preferred one that it will inevitably lead to the split based on sex disappearing, which will lead to societal collapse.
I support the conservative-hated idea of reducing barriers and trends that separate what a man or woman can do in a socially acceptable way that the other cannot do in a socially acceptable way.
I do as well, but that does not impact if you are a man or woman. This goes back to a NYTimes story I linked to in another thread about how a woman has a tomboy daughter. Her daughter very much is a she (the mother is a progressive and is open about her daughter being trans, but the daughter isn't). People around her cannot seem to comprehend that the daughter is not trans. The reason why is because a lot of what determines if one is trans in a child is gender role conformity, but this is exactly what second-wave feminists marched against. There are multiple ways you can be a man, there are multiple ways you can be a woman. The moment this is acknowledged and properly accepted it gets rid of a lot around the whole idea of 'gender fluid' and 'genderqueer'. These are not identities reflective of reality unless you pigeonhole people by stereotypical gender roles. It also would lead to, I believe, significantly less people being falsely identified as being trans.