Sorry, I was just agreeing with what you said in your second paragraph. Because it makes complete logical sense what you said there. So the "of course you would" was just a reaffirmation of what you described yourself, not a mandate over what you should feel.
Also, I do experience gender, just the same way as I experience color, taste, pain, happiness and all other experiences. I tried to explain it when I gave the example with "green" before. I experience green.. what I don't know is if "what it feels like" to experience green for me could really be identified with "green" beyond the social understanding I have from my interactions with other people when we see green.
I agree. But this also applies to all social/behavioral labels.
Not all pizza-lovers are the same, not all left-handed people are the same... etc.
The question is: what is it that makes a "man" be considered different than a "woman"?
What do those 2 men, who are different, have in common that makes you still call them "men"?