There's a couple things you are hitting at, and they should probably be handled separately: gender roles and gender identity. Gender roles dictate what you think about what people of each gender should do. These attitudes can be very "traditional" (maybe Victorian-era upper class), where men were supposed to be responsible for everything outside the house, and women were responsible for things inside the house and shouldn't worry their pretty little heads about anything else. Of course, your attitudes may take another extreme, where there are no gender roles whatsoever, than all people (regardless of gender) should behave according to merits, personal ability, and personal interest; these people *may* still believe in gender. I, personally, happen to take on the latter attitude, but many have opinions that fall somewhere between the two.
Gender identity is simply the gender one feels to be. It can be female, male, or perhaps something else. However, it's probably fair to say that one's attitude toward gender roles shapes one's perception of oneself *according to* what the person thinks their gender is, although a somewhat disturbing possibility is that sometimes people think these things are used *to determine* what one's own gender is.
The one thing I can say definitely based on your comments Soulsusan is that that you hold great contempt for gender roles, or at least the female role. You want people to be their best, and gender should not affect that. You happen to find that the virtues lie in male stereotypes (and when you were young, this was perhaps pretty close to true -- although caring for your children so carefully isn't exactly the masculine stereotype), but other good ones seem to lie elsewhere: compassion, patience, and cooperation. At least me, the answer isn't about striving to hold masculine values to be my best, but simply striving to be my best.