If you are a woman in a country that is increasingly oppressing women, it seems it goes without saying that the women most at peace with that state of affairs are the women supportive of that oppression. I'm sure this is as true of the USA as it is of Iran.
[edit to add] One can be conservative in a liberal environment, but to be liberal in a conservative place such as Iran has dire consequences. The only people being imposed on are the ones not free to live to their choosing, so there is no equivalent to forcing upon a conservative in the way conservative laws force upon non-conservatives (that I am aware of)
In reality, most people don't know what choices will make them happy. How could they? And even if they did, they wouldn't know how to get from Point A to Point B, or have the willpower and discipline to stick to it. They need society to develop generational knowledge about those things, socialize children and young people to understand that learning, and socially reinforce good choices. And frankly liberals know that because in other respects, they support societal intervention to protect people from bad choices and help them make good ones. They just have this huge blind spot. The act like the young adult who needs society to protect them from predatory lenders doesn’t need protection from people who might exploit them in other ways. Or that the person who needs education and social pressure when it comes to sugary soft drinks doesn’t need it when it comes to far more impactful decisions about how to live.
And that's before we get to externalities. That's another concept liberals understand but pretend has no application to social norms and behaviors. As if divorce or drug use only affect the individual and not people around them.