I read an article that suggests that rhythmic gymnastics and synchronized swimming be dropped from the Olympics because they are sports in which only women compete. Moreover, the article says that they're sports that were added before women were allowed to compete in such "manly" sports as wrestling and weightlifting.
I think that the author has a point here - I don't see why there should be any gender-specific competitions in the Olympics. So yes, either open up these sports to men or else drop them. But what should they do about gymnastics? Men and women only both compete in the vault and the floor, and even then, women perform their floor routines to music and are judged according to artistic ability. The men don't perform their floor routines to music, so why should the women?
The vault and floor aside, the men and women compete on completely different apparatus; the men on the rings, parallel bars, and high bar, and the women on the balance beam and uneven bars. Clearly the men's competition emphasizes strength - the rings and parallel bars are all about strength - whereas the women's again tend to be more artistic.
Could men and women each compete in each other's gymnastic events? Maybe. We don't really know, though, because they don't do that right now at the lower levels.... and until/unless they do, it's unlikely that there will be changes at the Olympics. Still, it would be nice if they started to look at bringing some equality to the sports competitions in the Olympics, and not just for gymnastics or synchronized swimming or rhythmic gymnastics or any of the other sports in which only one gender completes.