Where do conflicting but simultaneous ideals of masculinity fit into the binary gender system?

I’m having a bit of trouble with the idea of the binary gender system, largely that any time it’s referenced, there seems to be more than one ideal of masculine (well, or of feminine or hetero vs homo, but masculine is what we’re focusing on). For example, in many societies, A Man will both leave home often to conquer new worlds, gather treasure, and bring the family often, whilst at the same time A Man will stay home unless absolutely necessary, so as to best protect his domain. Which then means that, at minimum, this binary has become 3-pronged (Man A and Man B, and Feminine), and no longer fits the definition of “binary”. Another example: A Man is a great warrior, a beastly creature. Simultaneously, A Man is a great intellectual, as far away from beastliness as possible.
And then I don’t understand if the other side of the binary is simply the culmination of all qualities not included in the other side of the binary (eg. red vs green) or if each side of the binary stands alone while still being opposed to each other (eg. scotch vs daquiris, although that may not be a great example).

Right? Because I’m very unclear on this, and I get the feeling I’m missing some puzzle piece in understanding this concept.

So, the main question is, if there’s more than one ideal of A Man, is it still a binary system?