Well, you could try and keep that switch behind the dash and install the other one by splicing the cable and connecting them up. I wouldn't know about the reaction of the system though, so you are doing it at your own risk. The system seems to rely on the internal resistance of the switch, otherwise it wouldn't react in such a weird way. If you put the other one in in parallel it ll change that resistance... and the system :P
Have you asked a local dealer about this issue? They would know about that sort of thing.
Btw, I agree that you shouldn't relocate the switch. Its in the middle for a reason .