Given the above fact the real issue is how we treat people. Trying to make equality mean equality of outcome is very different from equality of treatment. I'm all for equality of treatment for everyone but to expect equal outcomes is silly, especially economically.
I would expect a pay gap to exist between men and women simply due to the different way they, on average, approach life. To me it would be even more surprising if men and women had exactly the same pay. That would be rather extraordinary actually because again, on average, they have different strengths and weaknesses, different personalities, different outlooks on what's important and of course different societal pressures. For example men have incredible pressure on them to be successful monetarily for mating reasons that women simply don't have. Women, on average, do not want to date/marry guys that are lower on the socio-economic scale than they are. What kind of outcome do you expect when you setup a competition amongst all of the males based on economic success? Pay equality is just a giant red herring IMHO. Until women start actually preferring a truly equal partner, on average, men are going to be forced to put all of there energy into resource gathering. Again talking groups here every individual has their own preferences, not all women think this way but on average they seem to.