I am trying to solve the same foglight problem tonight on my dad's srt. However, 3 weeks ago it was his interior lights that would not turn off when you lock up and leave---although they would turn off if you start the engine and drive away. He had the battery replaced at the dealership, but I don't think they did any kind of diagnosis on the dome light. He just keeps the switch in the off position, which saves the battery but doesn't address the problem.

I'll be using the search feature to look for other threads on the issue, but if anyone knows how to re-set the system or knows of a fix, well feel free to post!