I know many people for whom humility is taught as a part of being manly. I’ve been taught it basically since I’ve been alive. I don’t agree at all that no one pushes that sort of thing. It was all over my children’s entertainment on TV.
I was specifically taught that strength means being able to admit when you need help. It means you don’t freak out if someone thinks you aren’t strong–which is not the case for toxic masculinity, where you always need to get into dick measuring contests with everyone.
As for the OP: I think there will actually eventually be only one ideal–well, one range of ideals–that works in all genders. The gendered ideals are more about meeting people where they are and expressing that ideal in ways they will find appealing. There is an existing desire of men to be seen as strong, so we can therefore express ideal traits as showing strength. “Compassion shows strength of character, that you can handle yourself, and have strength leftover to help others.”
Now are there inherent differences from the start, or are they all conditioned? Both are possible. I tend to personally think that there is some of the biological that provided the seed for the cultural divide, but that the differences were always small, and got bigger over time. But maybe I’m wrong, and it was all cultural. It doesn’t really matter in this case.
As for women rejecting what it means to be “feminine,” I think a lot of that comes from the fact that men were the ones defining that term, and women refusing to be constrained. In men, the toxic version of masculinity is a competition, so those who feel they have a chance at “winning” don’t want it changed. But the rest of us feel like the women do, that it is someone else telling me what it means to be masculine.
I’ll cry, because I’m manly enough to not worry about how people might think I’m being unmanly. My masculinity is internal, not external. It’s not for show. To show my nerd cred: it’s like how Worf (internal honor) is different than other Klingons (who care more about showing honor).
And, yes, I do think that message was intentional on Star Trek’s part. I think the Klingon honor code is a stand in for masculinity.