My personal view of my birth and the body I have is that chemical things that were going on with my mom while she was pregnant with me pretty much set the stage for me being how I am. Is it necessarily "wrong" though? I did used to think I was "born in the wrong body" during a particularly bad stretch of time in my life, but I gave that up. It is what it is. Nothing can go back and change what happened to me in the womb.
The problem with society is that there already are "third" genders and there have been throughout history – intersex people (and trans if you really want to get down to it). In some cultures they were totally acknowledged, in U.S. society they're still basically ignored, surgically altered without their consent, and most hide it if they can because of risk of idiots calling them freaks. I don't know if I'm legitimately intersex, but I'm different enough to have been at the receiving end of crappy doctors, and feeling like if people "found out" they'd think I was a freak. Add being trans on top that and I'm sure you can see how there were many points in my life where I was having issues with gender.
Now, I am a big proponent of the, "wouldn't it be nice if everyone could just be themselves and society accept that". I realize that's a bit of a pipe dream but just the fact more people are accepting gay as being natural and not some abnormal thing, I can hope that one day people will accept trans*, genderqueer, intersex, and everything else on the gender spectrum as normal and natural too. I don't think there's anything wrong or abnormal with me. I'm not the same as everyone else, but no two people are really alike, everyone is different. People can have similarities and things in common, but everyone is having a unique total experience in this life.