Unfortunately, a lot of people, even within the glbt community, don't understand the differences between transgenders, cross dressers, transvestites or drag queens. This often leads to misunderstandings, prejudices or worse. They also don't know the pains of going through a transition. Its unfortunate that they don't understand what you're going through, but that's not your fault. I'm lucky enough to have known several transgenders and have them as friends. They've educated me and shown me how life is different for transpeople.
There was a time not too long ago where gender roles where much stricter than than they are now; when men worked and women raised the kids, men wore the pants and women wore skirts and dresses. Luckily, we've progressed past that point and its okay for men to cry and women to cut their hair short. I think one of the best parts of being part of the glbt community is being able to find the happy medium between gender roles that we're comfortable with. That as a man, I'm not bound by what society thinks of how I should act or behave, so no I don't think its weird at all for you to try to find your own place too. The most important thing is for you to be comfortable with yourself.
I hope that answers your question.