I feel that I am the same person in that I don't perceive two separate male and female personalities.
However, the way I am dressed does change the way I act. In male clothing I have to behave as a male to appear normal, and that means a certain level of assertiveness that a normal female would not display. In female mode I don't have to display that characteristic and in fact it would detract from my presentation.
That's not to say that females cannot be aggressive and even nasty. There are ample examples of GGs acting in this way, but most CDers don't desire to explore that avenue of femininity. It falls a bit close to home.