In our society's perspective they would be considered very powerful as they hold almost all the political, economic, and social power.

But in their culture, those are…just another part of life. For farmers, labor and hard work matter just as much as keeping the stores, making the rules, keeping the order…

All the soldiers, if there are any (usually near the other countries where they meet with aggressive nations a lot) are men because they are thought to be more easily aggressive. Many politician's husbands are top-tier generals, and so they tend to be "better in touch" with the struggles of veterans etc. None of the "the rich start the wars that the poor must end" because starting a war has a very close impact to the politician's families. Not to say that there aren't a lot of wars started by vanity, because He wanted to show his dick to the enemies, but it's more of a personalized complaint in war than a class-conflict about the pointlessness of war. Kinda like you would say George Bush started the war in Iraq, but not that the Southeners and Northeners started the Civil War (that dubious claim to fame would have gone to the President of the CSA and Abraham Lincoln)

This means that most protests don't exist in the same context as ours, but rather as a kind of "thanks, obama" type thing.

Oh, and about scientists. They are mostly gender equal, although applied science goes mostly to men (which means scientists like Haber and Tesla who created directly useful inventions would still be male, but mathematicians like Ramanujan and Erdöós and computer scientists like Knuth etc would be female). They all work backup as laborer out of necessity anyways so they don't tend to be recognized as a separate class. In fact the "nerdier" of the neighborhood often gather in labs after work and since women tend to work later and thus have to skip out on a couple hours work (not a problem since the latter half of the day is just cleaning up the work done earlier) they're seen as "lazy" but as with the Brewer who by necessity only really works around the holidays they're seen as a "necessary waste of resources."

And overstepping gender roles is incredibly taboo. Not that most would bother, since each gender has ways to get their message across. Laborers pay just as well as managers, not that pay is a problem, since "payment" is more of a "you scratch my back, I'll scratch yours" type exchange, with money only really required from strangers. Social power is also roughly equal because although nominally women hold the political positions, their husbands play an even bigger role than the First Lady would, and they advise them on all sorts of things. there's even tend to be a "lower court" of politician's relatives which tends to be the news media of their culture. Votes are also one per family, whether that means male or female if you're single.

Annnnnnnd art. Artists are just weird so it's not like they really matter with the gender. Most people do art, and performers of either gender are legit jobs that people will acknowledge but if you do art for art's sake (like post-modernists) and not entertainment then it doesn't really matter what gender you are, you're an outcast.