Not really.. I feel like I present myself to the world as I am inside, and I interact with a wide variety of people without the apparent need to put on a facade for any of them. Although I don't readily display very strong emotions, they obviously do affect me and how I interact with the outside world. My realtor friend tells me that she has to fake confidence or "tell herself" that she's confident at times. I can't readily do that.
Perhaps, then, I'm too honest about myself to the world..
I do feel that I am presenting who I am, most of the time. Sometimes I try to make myself more "user-friendly" meaning I'm less likely to express an angry or sad mood, or negative/unagreeable opinion, (or atleast try to soften it, or make light of it.) Like if I was sad I might complain but then follow with. "Sorry if i'm a debbie-downer."
Since I am usually feeling happy and contented on the inside, this usually doesn't lead to a conflict.
I don't think this has much to do with my extraversion though, so i'm not sure if that even answers the question properly.