I'm not quite certain what you are trying to say, but more egalitarian societies have fewer stereotypes.
Individual initiative is the ultimate sin of such policy, fiercely racist/sexist/anti-gay in its implementation - it knows no true measure of tolerance or reward for good qualities.
Perhaps you would care to read the following article:
Fostering Resilience in Children
The studies cited within this article seem to support the thought that a more egalitarian family life does precisely the opposite of what you have proposed - that children are more individualistic, their curiosity is encouraged, they learn independence, etc. Egalitarian societies are far less racist, sexist, or anti-gay.
Quite the opposite, it baits and enslaves our entire culture toward its current degenerate state.
I disagree with your conclusion, for the United States is definitely a heirarchical society, with moral degeneration a natural result of forcing people into role definitions based solely on gender.
There is no such agenda, only perception and the choices made by millions of individuals to live out their supposed stereotypes, happily and without apology.