@Arkandeus No, you're not. Let me explain. As it is present in the icon, the yin contains the yang and yang contains the yin. You are showing this connection in your post.
A popular belief is that yin and yang cause, or complement one another. That one cannot exist without the other because there would be no point of reference to distinguish something. That yang is yang because there is yin. That is true, but there is another, deeper level that you have expressed in terms of male and female energy.
There is a way in which yang can be seen as yin and vice versa. That is because yang contains yin and yin contains yang. They are identical to each other.
It is symbolized by the contrasting dots in the symbol. It is often said that a man has the initiative in a relationship. That he is supposed to lead and decide and a woman is supposed to listen.
That a man is a man because he can express himself with a woman as a material. That a man can mold the woman into whatever is necessary for the relationship. That is only partially correct, because it is disrespectful to the woman. Yin is submission, but submission is a strength equally great to dominance. To dominate another is to submit to yourself. To submit to another is to dominate yourself. A woman has the strength of rejection, or selective submission.
If a man is the seed, a woman is the earth. The earth has to be hospitable in order for seed to grow. 
It is by far the most visible in the act of courtship. Nothing is more humiliating to a fully yang man than rejection by a woman.
Relationship is like a dance. Someone needs to lead in order for dance to occur.
But leading has to be wise. The leader may only place his foot, where his partner is absent.
The leader may only lead in the direction that will let his partner keep her balance. A painter needs a canvas in order to paint.
A painter may see himself as yang, and see the canvas as yin.
Any good painter knows that he does not know exactly how the painting will turn out once he's finished.
In the process of painting, he uses the randomness of his technique to give the character to the painting.
In doing so, he learns about himself - by observing his mistakes and imperfections of his own style.
In this sense, the roles of the canvas and the painter are reversed.
From the point of view of the canvas, the painter is the material in which it creates the technique.
In this sense, the canvas is yang, and the painter is yin.
Yin and yang are identical and whole. One may say that yin has power over yang, but that would be a mistake in the same way in which one can say that yang has power over yin.
Yin and yang coexist, because they are identical through the shift in perspective.