I'm talking about elite level, the best of the best.
I would suspect that the reason men and women don't compete together in golf is one of tradition
That is not true at elite level. Take the 10 best men and women playing golf at elite level on a specific 18 hole course. The best woman will probably need to hit the ball more times than the least best man.
How about .... why aren't there many (if any) black champion swimmers yet they excel at track events?
Different races are better suited at different tasks. Why do you think that dogs of the race poodle normally don't compete with greyhounds in races?