So, sexism cuts all the way down to the bone of our daily interpersonal interactions. It creates the whole jock / nerd divide. It creates the difference between

So, sexism cuts all the way down to the bone of our daily interpersonal interactions. It creates the whole jock / nerd divide. It creates the difference between the hot cheerleaders and the normal girls. I'm not really clear on how such divisions emerges from sexism. At its root, it seems to come from primate status competition, within separate groups that happen to be divided out by sex. Among the boys, the jocks are those who prioritize sports and physical achievement, while the nerds are those who prioritize academics and mental achievement. This divide persists even in the absence of females - for example, all-boys schools still have aggressive athletes and quiet, bookish introverts, regardless of the presence or absence of the opposite sex. If anything, the thing you're describing as patriarchy and/or sexism is the effect, rather than the cause.