There are tiers of rights in Gilead. The higher ranking women have “no rights” compared to a typical woman living in real life America, but certainly more rights than the lower-ranking women, and possibly also more rights than the lower ranking men. (If one of the teal-clad high-up wives accused a lower ranking guy like a ‘guardian’ of doing something wrong, I suspect her word would be believed over his.) But of course it would ultimately be men making the final judgment against anyone.
Compared to the world of real life America, the men in Gilead don’t have many rights either. They don’t have the right to live their lives the way they want to, which is the most basic right that Americans are supposed to have. They’re forced to be part of a weird religious cult that seemingly has NO sense of humor; this alone would be unbearable for most people and would trigger rebellions. I’m also pretty sure most American male military leaders are not down with their daughters being treated like second-class citizens. I’m sure most Air Force pilots and Naval Aviators whose job it is to operate virtually-unstoppable death machinery, are not down with a society where they’re forced to perpetually speak in solemn religious incantations and scantily-clad women no longer exist except in weird underground brothels. Yeah, I don’t think they’d be down with that, and all it would take is ONE pissed off pilot to seriously fuck up Gilead because, again, they seemingly have no military except for a bunch of goons with black vans.