Ah, got it.
The good news is that I'm working on a plugin that'll use that exact same player you have there in the band profile.
The bad news is that I'm waiting up for features in 1.0 stable to make it work properly, including being able to toggle the player tab on and off.
I like the "my bands" idea, but the logic in creating a plugin like that would be pretty involved, and would probably have to be intertwined with the way that bands and fans are made into two distinct groups.