You do realize that gender is a socially constructed thing, don't you? It's "invented" in every culture, differing from place to place and from era to era. Lots of indigenous cultures have 3 or even 5 genders. There's no such thing as a static "masculine ideal." Women who want to be warriors aren't secretly wishing they were men - they simply want to serve their country and/or protect what is important to them.
Next you'll be saying that women who want to be scientists or women who want to be CEOs are expressing a hidden admiration for "masculine" ideals. 🙄
Edit: War and patriarchy arose together, co-morbidly, you might say, about 6k years ago. Ergo, being a soldier/warrior tends to be paired with men and masculinity in the cultural consciousness — except for all of those thousands of exceptions already pointed out to you in the story about the history of women warriors. It’s just another form of patriarchy justifying itself by trying to pretend that “men are like this, and women are very, very different, and they are like that.” It’s the only way one can justify with a straight face the systemic marginalization and oppression of women — but in reality, all humans are an individual and unique blend of Yin and Yang traits. Some men like to bake cakes, some men like to fly F-22 Raptors — and some men can even enjoy doing both. Same goes for women.