I wonder if ultra-traditionalists would consider someone to be "less of a man" who had the following traits: living with their mother until their thirties, never having a wife, family, or even a girlfriend, very likely being a virgin their entire life, never really achieving financial success despite being born of a very powerful father, not fighting back if attacked physically but rather just letting their antagonist continue to hit them? Certainly the antithesis of a "John Wayne type" alpha.

Would they find this guy utterly pathetic as a representative of the male gender?
There were some interesting points made and a couple I would like to add:
1: definitions of what the OP meant: a very valid point and one that several people, including myself, tried to address. It would be pretty pointless to argue over terms for which each person has a different understanding. As far as i can tell, there has not yet been an agreed-upon criteria for the OP's question. So......unless we get one, there is little to do but just give opinions.
2: words: words have meanings and connotations. Language is a fluid and evolving thing as are societal mores, but language is also not a free-for-all. Adjectives like "manly" or "masculine" have associations that wishful thinking does not change.
3: "Being a man": I tried to define this with my own beliefs......but that went nowhere. The state of "being a man" to me is very different than deciding whether someone fits the adjective of "manly". (Another point that seems to have gone nowhere.)
4: "stopping the bickering": To a third party this always seems like the ideal solution to conflict. And in some ways it is very practical, but it doesn't take two things into account......accuracy & fairness. If someone misinterprets what you say, and actually threatens you, and despite trying to explain you continue to be threatened, is it really fair to say "just don't argue anymore"? If someone attacked you or a loved one physically and you fought back, and a third party walked by and seeing the fight told you to just stop......as if you were just as at fault.....how inclined would you be to let the attack go?
Lastly......5: Anecdotes are not arguments: If the question is, "are lemons bitter?" one person saying "I like lemons" and another saying, "I hate lemons" does nothing to answer the question.