Well yeah. That's a feature not a bug of dominance hierarchy.
Other Men are your direct competition. If you're not competing for status against other men, you're not establishing dominance and rank in the pecking order.
To compete, you have to see your competirion as a threat, an enemy, someone who is attempting to take what you have. To respond to that perception, you have to trigger "hate" feelings, or negative feelings toward that person.
Your only option is to set dominance hierarchy rules aside and foster brotherhood and equity. New rules or order. Different values. Different result.
Both cannot exist in the same space.
Keep inputting garbage, expect ginormous nothing burger garbage in return.