I don't think it's weird at all, if you're happy with it. I thought about making my 4th character a boy, because he always was a boy when I was resetting. lol, it's just because it was always easier to push AAAAA all the way through the whole Rover speech, so for camp/plot resetting, I'd end up being a boy. But in the end, I went with girl, so there are 4 girls in town. I just think girls are more fun to be/dress and cuter.
Having said all that, I have played with people before who had, for example, a girl mayor, but their mii was a boy, and I just treated them like a girl, since there's still no way to tell even with the mii. They could also be using someone else's DS. I've even been bff's with someone, and never asked them about what they were IRL...I figure they chose the gender of their character for a reason, and if they wanted to, they would tell me they were a boy or girl IRL.