Honestly nothing any one does before they're 20 can be classified as weird because you're a teenager and that's what teenagers do, be weird and test out personalities and personas and when they turn twenty that's just what their personality is so it can't be weird.
It probably has more to do with your style of clothing than your the style of the music you listen to. When people are teens, very few are rocking blazers to high school. Where I live business men rarely wear jackets. They might slide it on for a corporate presentation or something like that. I've listen to classical music and opera since I was a kid, along with many other musics. I never felt out of place. I just had a broader taste in music.