Any time you sit in a fixed position and use your arms extensively, you will encounter the possibility of neck pain, due to the somewhat unnatural strain the steering effort has upon the spine and unused, nearby musculature. For many who have suffered damage in the area of the back or neck, the problem is exacerbated, due to scar tissue that can easily swell when under strain or when the lymphatic system isn't working properly (having a cold, extensive scar tissue, or a lack of sufficient movement to drive the lymphatic system, since the lymphatic system, the body's sewage system, is driven by muscular movement, in a similar way to how the heart pumps blood). The same can be said for those who are immobile or who choose a sedentary life (ie, couch potatoes)
I suffer from the affects of a criminal assault I suffered at Avtron Mfg back in late 2007 and am pretty much in pain to one degree or another 24/7, and whether in a real car or while driving in GT6, I find that it helps to get up and do a little stretching from time to time, take a walk, etc.
It also helps immensely to carefully adjust the seating. AND... although it might or not help others, I have a couple of "bed buddies" (buckwheat filled 'socks' that can be heated in the microwave) that I usually warm up and set in the most affected areas (wrap the neck and stick one behind the left side of my back)... they usually help a lot for loosening (or keeping loose) my trapezious, strenocleidomastoideous, etc...
If you're not literally immobile, and you suffer from neck pain when driving, especially after only a short spell, I'd recommend upping your physical activity to stimulate your lymphatic system. Without movement, the toxins just build up in the various lymph nodes where toxins collect before being transported down to the liver and other filters for processing.
fwiw. (and sorry about the giant images)