I would love to participate in a combined event like this. Infact I helped setup and run 2 events just like this in the past. One of them was a drag racing + autox combination. The other was a drag racing + mini-roadcourse event. Unfortunatly my car had some technical difficulties in completing the 2nd event (damn pos alternators). I toasted an alternator at the drag strip, and the next event was at 8AM the next day and I couldn't get one in time. The scoring system is the only iffy part. We used a straight numerical addition of the times, but I think given the vastly different nature of the two races, there should be some kind of weight as suggested above.
I think its a good idea though.
EDIT: I do think subjective judging should be eliminated from the competition though. Everyone has a different opinion on what "looks" good. Lets make this more of a race, and less of a car show.