I don’t think it’s wrong; I kind of have that feeling sometimes as well, like my Amy-self is at least partly distinct from my male self. Certainly the personalities differ somewhat. As I’ve described it to a couple of friends, “Well, I’m her, but that’s all right, because she’s me!” I’m still working out whether I should fully transition or not, so I don’t yet know how it’s all going to fall out in the end. But some people that know “both sides” have commented how much happier I look as Amy, so it’s not just my personal feeling that I’m working with.
But I’m pretty sure that there are approximately as many ways to be transgender as there are transgender people. :-)