I would be a bit worried about this, there's nothing shared between the aircon and airbag circuits so it sounds like you either have a chaffed wire or someone has modified some wiring in the car. I'd be getting it to a specialist or dealer and getting them to plug it in to Tech-2 to get diagnostic codes read.
A couple of questions though, when you say aircon is turned on/off which button do you mean exactly causes this? Also, does the light come on/off immediately as you push these buttons or does it take some time?