I hear what you're saying though. I think that trying to connect the dots about the implications of this leads to a cognitive state of hostility that will undercut the connection I think you seek.
There are ways of peacocking without devaluing others. Also, because many of these things are instinctual remnants from our evolutionary past and to some extent are not controllable esp. affectively it can allow one to sympathize with the experience of the opposite gender by sympathizing with the self and basic drives there that are also not controllable (but not inherent or universal per se).