Without the pressures of sex, men do quite well within the traditional hierarchical organization. To the contrary, hierarchies have generally contributed to the survival of the human race, creating civilizations when before, in the early morning light of human history, there ranged only matricentric bands.
Most women are very sensitive about status and their place within a hierarchy.
Teams make things happen. They focus on goals, assign tasks, and move mountains. To do this, the members must know their jobs, know who can tell them what to do, and when to do it. For men, this is natural. An individual might build a home, hunt game, and gather food in his or her life- time, but a team has a synergy allowing it to build communities, cultivate crops, raise herds of animals, and, thereby, raise everyone's standard of living.