I have incessant music in my head. The songs never end. Even if I wake up in the middle of the night, a song is going. Sometimes one song will get stuck. If it's one I like, whatever. But when it's one I don't? SOOOOOO annoying. I try using the "stop" thing too. There are certain songs that will invariably be problematic. I hate them so much. If I start to hear one, I will cover my ears and make noises (like lalalalala, or loud breathing) to block it out. Looks stupid, but I don't care, because it's worth it to prevent it taking over for, no joke, about 2 weeks solid.
Mine don't jumble together much like what you describe. That must be quite annoying.