The solution is simple: class every sport like boxing.
Pick a sports-relevant metric and split into divisions. Some sports will naturally fall into gendered divisions, while others will have varying degrees of co-ed competition among competitors of similar ability.
The way out of this is not to pick a better scissor of sex or gender, it's to pick a better scissor of ability.
Dude, men are better than women at virtually every single sport. What are you talking about.
This "solution" can really only be proposed by someone who has not played sports. This would simply result in women being unable to compete in sports professionally, outside of a couple small niches like ultra long distance swimming and a couple sub-disciplines of gymnastics.
I do not consider that to be a good thing.