A patriarchy would not have to be a "Might Makes Right system"

pa·tri·arch·y

/ˈpātrēˌärkē/

noun

a system of society or government in which the father or eldest male is head of the family and descent is traced through the male line.

a system of society or government in which men hold the power and women are largely excluded from it.

Just because men might be in control does not mean that it cannot be egalitarian with all men being treated equally. Being a patriarchy does not mean it must be a dominance hierarchy.

Yes, I am an engineer and words have precise meanings that are defined in dictionaries.

What dictionary has a definition of patriarchy that states that a patriarchy must be a dominance hierarchy?

TEK