Can you have a multiple personality, while having a GID?

I was diagnosed with Gender Identity Disorder or other words, specifically Bi-gender. I also have borderline personality, if that helps, that's why I'm asking it here. In case anyone can relate or had had similar thoughts.

Well the reason I ask is because not only do I have a mental state of feeling like I mentally think and act like I'm more male, but I consider my male like qualities as another person, like a second persona.

Like most people with alters/multiple personality's, I give mine a name, characteristics, look, and even a personality(mostly considered my inner personality, but I don't consider it fully since it doesn't act at all or matches with my outer personality). I've been told by a psychiatrist that, that inner personality would and should be my 'real' personality, but I beg to differ immensely.

I put much thought into how I act so different to how my mind links up sometimes and how I perceive things, whether something triggers a certain thought or I act 'out of character' when I talk about something that I normal don't talk about.

I don't put much thought to it morally, I just go with it and I'm frankly just fine with it. I just don't know how or if it's ok to say or be seen as both gender dysphoria, or really just meaning I have multiple personalities.

When I think about it, I just take it as I'm just two different people, specifically genders, in one body, but when I think about my past and how I acted more like I was some 'tomboy' is what confuses me about the two. I don't know if there's a difference or if both disorders can work along side of it.