What you propose is very unfair to females. Having all compete in the same team would mean that no females would ever be able to be on a team. Males are simply stronger, faster, etc. than any woman.
So, taxpayers would spend all their athletic money only on the males? Totally unfair.
I do think there are some issues that radical feminists have aggravated, such as insisting that there be equal number of sports teams for boys and girls in schools. Not very sensible IMHO.
Can’t we use a bit more common sense? I expect to see reasonable arguments here on FR, and fortunately most fit that description. However, there are a few here who sound like mysogynists in their views of any females in sports. They may not mean it that way, but it comes across that way.
Jarwulf is 100% correct.
Getting taxpayers out of the business of subsidizing these stupid scholastic sports programs fixes the “unfair” problem entirely.