Yes, there's an observable, factual tendency for men to lean towards yang and women to lean towards yin
Guys...if you're acting like a girl and don't have a girlfriend and if you're angry all the time because the girl you want is sleeping with guys who "don't love her like you do" but who do the very simple thing of acting on their desires...then stop acting like a girl. Girls don't want girls any more than you want to have a boyfriend. If you want a girlfriend, then be her boyfriend. Don't try to be her girlfriend and don't delude yourself into thinking it's somehow more "respectful" to hang around on the outskirts and act like her servant and emotional punching bag. It's ok for you to have what you want, and she might be very happy to give it you. Make it happen.
Sadly for this argument, the fact is that many girls want girls. Many guys want guys. I am a guy who likes masculine girls. I know effeminate girls who like masculine guys. I know effeminate guys who are interested in masculine guys and effeminate girls both. And this is also present in historical, cross-cultural, and widespread contexts, too much so to say that they are all just anomalous.
As for nature and the world as a whole, there are whole species wherein Females actively hunt, forage, and protect their territory on behalf of a passive, reactive Male. And there are now and have been Matriachal societies wherein Women lead military campaigns and create laws and governments to impose on others, and this is considered the norm.
I have to disagree with your assertion that Yin and Yang are fundamental natural forces, and would instead argue that they were terms that arose within Daoist philosophy in ancient China, and these ancient Chinese Daoists, who were very proud and sure of their way of life, decided that what fit Male and Female ideals within their culture were the norm for all Humans on the planet. They were probably quite useful within that societal context in creating a Norm for relationships, and have a lot of poetic value, and probably can help folks who buy into them find harmonious relations... but to impose that as a universal law on the rest of the world is arrogant, and dogmatic, and ignorant. They are not aspects of Male and Female nature, but rather are a form of training present within only some cultures (such as Chinese Daoists, with applications to some modern Chinese, European, and American cultures).