I do not think women are inferior or less suited to teaching or less capable of technique.
However, if both fighters are equally skilled, then the one with the most strength and body mass will have a significant advantage. And even if the woman and the man hypothetically squaring off would have the same weight, looking at the averages, the man would have a significantly higher muscle / body fat ratio.
Additionally, female bodies have different skeletal and muscular mechanics, both through bodily function (e.g. hips that need to able to support childbirth) and through evolution from the ages where men were hunters and woman supported the community. Men's brains typically are also geared to be more powerful in the areas that a hunter would require, while for females this in not true.
Because of that, men and women have separate competitions, because to do otherwise would be grossly unfair. Men would almost invariably dominate the game, even within the same weight divisions (if they even exist) due to the fact that the average men has a significant mechanical and neurological edge on average. This is true in tennis, in the 100m dash, in weight lifting, the long jump, and hundreds of other disciplines. MA is no different. Of course there will be individual woman who are better than individual men. But on average, men would dominate.
This is not to say they can't mix though. In squash, women are allowed to compete in the mens competition, but not the other way around. This way, the individual women who are good and who have the drive to measure themselves up to the men can do so without having men dominate the women's competition. And from what I have seen (my wife plays squash and I used to play squash as well) it takes a really good female to beat a decent male player, because the decent male player will hit much harder, and generally run faster. So the only way for the female player to beat the decent male is to have a much better technique and a very good tactical understanding of the game. And that, in combination with the ability to hit and run hard, would put her far ahead in the ladies competition. In fact I used to play regularly against our number 1 female player, and it was an even match. Sometimes she'd win, sometimes I'd win. But I would not consider myself a decent player anymore, and she had a respectable ranking in the female competition. I know this is anecdotal of course, but it illustrates the point I am trying to make without offending anyone.