Seems to me like the obvious answer is to categorize these events by weight division rather than gender, but this will never be considered because the hysteria is the point.

You might want to look at strength standards for women and men at the same weight.

https://exrx.net/Testing/WeightLifting/StrengthStandards

Weight classes are a great thing in some sports. They do not solve for the discrepancies between women and men, though.

Fighting sports are divided by weight (boxing, judo, etc) but no woman would even be close to winning in the same weight category of men, so we will never see a woman in those sports at the Olympics or anywhere it matters.

And who would pick a woman to play in a team of volleyball, basketball, soccer? I think that historically the only sport in which men and women are absolutely equal is shooting. Maybe curling but it's usually the man that sweeps the ice (a little bit of extra strength.)

Doesn't really work, men are stronger than women at the same weight...

And that's at the peak of fitness; lower level competitions with juniors or not optimallyfit people exaggerate the strength difference.

Explain how you'd do basketball? Marathons? Maybe it isn't obvious, but weight isn't the main difference between men and women, nor is it necessarily an advantage in different sports.