They seperate groups because of "averages". Yes some women are better shooters than some, or most men, but that has nothing to do with median or average skill levels of different groups. Why don't women compete successfully with men in football, or baseball, or golf, or .......
Equality and equal are different things guys, you're trying to confuse issues which don't go together. There are plenty of women that can outshoot me, and plenty that can't, but it has nothing to do with equality. If a woman wants to compete against the men in IPSC or IDPA she certainly can, but to date women have not been able to compete at the highest level of the shooting sports with regularity.
Plenty of women have class wins though, for example in IDPA MM and SS classes using SSP/ESP/CDP pistols. I happen to be one of the most open minded people that you will ever meet. But come on, thinking you're different because you treat your gf as your equal doesn't even belong in this discussion.