Maybe I focus on that because most of my life I have been surrounded by many women for whom their menstruation has been an issue, way more than a headache or minor inconvenience - and it was/is nothing a doctor was able to cure, they tried. Painkillers help somewhat, that's why we always had a stash of them at the restaurant - I worked mainly with women, of whom 2 had that problem, and coming to work was a problem for them which we tried to consider as much as business-wise possible. One of them is now very skilled in natural medicine, but even that has its limits. So I do disagree on the "just have a doctor fix it".
Also, a right does not mean that you have to use it. I'd have the right to marry a man, but I won't. Same goes for social services. It's supposed to take care of those who need it, while those who don't can wholeheartedly ignore it. Abuse of rights is a different topic...
Regarding your three top performers. Serena Williams and other high performing women in sports use hormone methods to intentionally delay their cycle before mayor events. Thatcher was 53 when she became PM, so probably after her menopause. Indira Ghandi 49 when she became PM. Doesn't meant that they didn't deal with their menstruation during their ascension, which took decades. Still, I wouldn't focus on the out-performers for an argument, but rather on the every-day people. Like in education - maybe there are many that are hold back by their circumstances.

With the rest, I agree. There's a lot of fear among men for the competition (that Fausto mentiones as well), as they cling on to old roles that benefited them, and seek self-esteem in the egoistical "manhood".
As I mentioned in the post, it is still a world mostly created by men, with rules mostly created by men, benefiting mostly men. Company structures and politics are good examples for that. A woman has to work a lot harder to make it into those ranks. It also goes the other way around, as I'm experimenting these days - I have to work twice as hard to prove that I'm a great parent, and deliver twice as much proof that I'm the better suited parent for my child.
Yet, just like you, I do see the change. Slowly, little by little. And I'd leave it to the hands of women to decide what they want to focus on next, what to fight for. They know a lot better than I. And as I wrote above, the mentioned topics are not what I think is important, but what the women around me see as important.

I'd make one more distinction - about what serves men and women. I do believe that as a society, we benefit a lot from more equality/fairness. What is under threat is not the well-being of men, but their egoistical wants, which are mostly not in the benefit of society. My conviction is that men, too, would be better off in a more equal society.