What are you talking about?? Every single human being has a gender. How is understanding that not counted as a basic skill? You can’t even teach basic English without broaching the subject of gender.
School should actively deconstruct bigotry. So that future generations are less bigoted and less hateful of minorities. We cannot rely on parents to do this, as parents can be racist they can be sexist they can be homophobic they can be anti Semitic, they can hate the poor, they can preach hatred of those who are different, they can abuse their children for being different, and many other examples of parents indoctrination their children into hatred and violence.
Bigots should have absolutely no say in education. The education system has to assume that parents can and will teach their children hate. And it has to actively work against this. Empathy and compassion are 2 of the most important basic skills in making an emotionally well rounded adult. There is no room whatsoever for tolerance of hatred in education. If you’re bigoted, if you hate minorities, then you should have absolutely 0 say in what takes place in a classroom. Someone who thinks slavery is right doesn’t get a say in how children are taught. Someone who thinks women should have no right to divorce and no bodily autonomy should have no rights whatsoever to enforce their ideological hatred in classrooms.