Is it wrong I want to ride my own?

For the past 12 years I've been riding motorcycles, and I'm a girl. Now that I'm in my twenties I've gotten into road bikes and own a Honda Rebel. Problem is I ride alone. I have a group of friends (all guys) who are motorcyclists too, but sometimes… I don't know I really can't stand them anymore. Things used to be cool. Nowadays they never want me riding with them because they think it ruin their "image" because I'm female. My friends just don't want to be seen riding alongside a woman. Besides me the only other girls in the group are their girlfriends, who only ride on the back like ornaments. Honestly I

There's a big event going on in the next town and the group plans on riding there. But my friends are only letting me accompany them if I ride on the back of my own bike while one of them drives it. I tried complaining, but it's either their way or the highway.

Really WTF is wrong with them? Honestly I feel way more comfortable riding my own bike myself rather than being a passenger. Or am I being a prude? Should I just ride on the back this once?

Start your own Biker Chick Club. It would be cool. As for a one time event, sure ride on the back and have fun! Just don't over think it… They've probably been doing things a certain way for a long time and don't want to change.