I don't know about psychological theories regarding masculine and feminine, and they may well set men and women against each other.
Talking only about what I know of traditional Eastern philosophy, the distinction is more a recognition of the unique qualities of masculine and feminine. As with other aspects of Eastern thought, concepts are more complex than "this is A, and that is B". The "masculine" ability to control emotions can be seen as strength, and so can the "feminine" ability to process and express emotions. (Again, bearing in mind that this doesn't translate completely to "men" and "women", since we all have some "masculine" and some "feminine" qualities.)
As a genuine question, not intending to argue but for the sake of understanding other people's views, could I ask what people think of the idea of female and male roles with regard to parenting? I don't mean very literal things like a supposed traditional idea that the father works to provide 100%, and the mother raises the family 100% - that has never been the case, and is only a type of social propaganda. I mean ideas of more innate qualities, such as the protectiveness of a mother (the "mother bear"). I've also heard that the father's role is to be a balance to the mother's protectiveness, so it doesn't smother the children or keep them infantilised when they need to become more independent. (In a family that doesn't have a male parent + female parent structure, these roles would need to be filled by others, perhaps by one person alone.)
I'd be interested to know whether people think there's something in looking at male/female roles in a context like that, or think that gender is irrelevant to the role that a parent plays? If gender is thought to have a relevance, then that's my understanding of an example where thinking about masculine and feminine is helpful. I know that there could also be a lot of interpretations and uses of the idea that are far from helpful.