Although not as common, in some societies, women are seen as the head of the household. There are tribes that value a woman over a man; a woman chooses her husband, and then the husband lives with her family. The women make all the decisions for the whole community, while the men just have slight influence over matters. As I've said, it all comes down to culture.
You either learn to accept the way things are, or you go against them. Most people don't like causing trouble. So sure, women have been fighting for rights for centuries, but it's been a small percentage of them. It may have gone unnoticed, but it doesn't mean that they didn't try.
Our culture has been influenced by what we've grown up with in society, religion, etc. Thankfully, we can say that the early to mid 1900's idea of women has changed for the better, but it hasn't been that long of a time since that era of our history. One can say the same about slavery; we don't have slaves anymore, but racism still exists today. At least most of us now realize that racism is wrong.
For some time now, more women have been getting out into the work force, but we don't see the same amount of men beginning to work in the home. Society still has a few chains that haven't broken away from the past yet. Many women still leave their jobs in order to raise their families instead of sticking around to get that promotion. But it doesn't mean that women are inferior. In fact, I think that it is humbling when a woman gives up her career for her family. It isn't a 9 to 5 job...It is 24/7 work with no pay. I don't see many men willing to do that. (There are exceptions, I know a few stay-at-home dads.)
Your point about men doing everything important in society is slightly misguided. Is not raising children an achievement? Sure, more men have had influential accomplishments, but it is only because women were not respected enough to be given the chance. Throughout history many women tried to lead their own lives, but instead were forced into marriage by their fathers, were not given the proper lessons or schooling to hone their talents, or were not allowed the freedom to make a difference or to voice an opinion. There are still such problems around the world.
I can only agree that men are, generally, physically stronger than women.
But if a male is superior to a female solely because of strength, I could say that a black man is superior to a white man because it has been proved that, on average, he is physically stronger than a Caucasian male. But then one could say that most politicians are white, therefore, they hold more power and must be superior to minorities. Debate is endless in such topics. But I digress.
Even if men are better than women in some instances, women are better than men in others; it all depends on the situation. Both genders were blessed with similar and different abilities. Our culture might hold some abilities higher than others, but all should be valued equally.