The condition I described below doesn't exactly match scoplin's condition, but I thought I'd share my symptoms and repair with you on the JBL system.
I have a JBL audio system as well. I must say I've never experienced stations changing intermittently, but I did notice the stereo have no sound a couple of times on cold mornings and then a few minutes later it would come on.
Toyota resolved this issue by replacing JBL amplifier. The TSB is AU003-03. The condition as stated on this TSB says that some customers may experience a condition where there is static noise from all channels of the audio system or no sound from the audio system. This condition usually occurs on cold mornings. Once the amplifier warms up, normal operation is restored. An improved JBL amplifier is available to address this condition.
-Gene