Well, men generally are stronger than women, so perhaps a culture that recognizes
this is unavoidable.
Physically, men tend to be bigger, yes. But it's honestly a negligible difference.
But the culture can certainly allow weaker men & stronger
women to each take the rolls they wish.
Seeing the power wielded by women on large & small scale (in N Americastan),
to call it "patriarchy" still strikes me as so overly broad as to be meaningless.
The political and economic power still mostly consists of men, and many of the women in power continue to contribute to the problems in their own ways.
Besides, the US government has very little connection with the country as it stands, so what's represented in one isn't necessarily represented in the other. Sure, there might be a fair amount of women in political positions, but the real powers of the US are the megacorporations; how many of them have women CEOs or on their top boards?
Or, once again, let's look at my gamer culture. I can name many male game designers:
Shigeru Miyamoto
Satoshi Tajiri
Ron Gilbert
Tim Scafer
Sid Meier
Will Wright
Hironobu Sakaguchi
Hideo Kojima
John Carmack
John Romero
Jonathan Blow
Markus "Notch" Persson
Lord British
But when it comes to female game designers...
Roberta Williams
...
...
Roberta Williams
And despite being a major pioneer in the Adventure genre of gaming, and having incredible technical knowledge making her games look and sound way ahead of their time... sorry, but her games generally SUCK!
Obviously, there's other female game designers, but I just mean off the top of my head. That has been changing in recent years, but there's still a long way to go.
The Let's Play community is also a major aspect of the modern gaming community, and I only know of
one female Let's Player (PushingUpRoses) as opposed to several male Let's Players, and even she's not terribly well-known(only ~25,000 subscribers). ...okay, there's Suzy from Game Grumps, but she's just one girl among a company of guys, and she doesn't really participate in the video/computer gaming a whole lot; she's most prominent in their Table Flip series on board games.
This is generally why I focus in on culture rather than politics. Power here is independent of the government, and has more to do with representation in content creation, artist variation, and publishing companies. Men almost have a monopoly here.
Of course, it is a good question of whether or not "patriarchy" can be accurately applied to this. (Might actually be a good idea to talk it over with RF's feminists in our forum.) I would argue it does, because IMO power comes first from clout, not job description. ... okay, the people with the most power are the ones with the most money, yes, but clout is next in importance. My subculture doesn't really have many women with clout, largely because it's been regarded as an "all-boys club" until relatively recently, and sort of slid back into being thought of as one during much of the last generation. Therefore, the ones who "guide" the culture, i.e., content creators, artists, and publishers, are almost all men: hence, patriarchy. It's not intentional, but gamer culture in recent years hasn't really made it easy to be a female participant, let alone a female game designer.
Thing is, it's getting better.