The headlights go on, on my crossfire after I turn them off and get out, as soon as I close my door. They don't stay on very long though, less than a minute I think. There is no adjustment, for the length of time, that I know of.
Another kind of wierd thing is that the garage door openers don't work and either does the horn, if the key isn't on,something you have to get used to after driving american cars.