Some friends and I tried to do a rough calculation to determine the effect of the exhaust gas thrust/downforce and came to a solid conclusion that this is not the cause for the enhanced acceleration capabilities.
It is certainly not classical Coulomb friction propelling the car @ the contact patch, there is a glue-like effect that allows the tires to get more grip than Coulomb alone would provide, but even the glue-like effect is not widely accepted as being the "reason" for the awesome G's attainable @ launch.
There is an SAE paper written by Chuck Hallum entitled the "The Magic of the Drag Tire" in which he tries to explain the phenomenon in terms of a momentum change of the tread as it contacts the pavement (i.e., the tread is travelling downward as it comes around the front of the tire, and then it's vertical momentum is reduced to zero as it enters the flat contact patch.) I don't believe that this explanation alone is responsible, b/c you would think you would have a cancelling effect as the tread particles are pulled up on the back side of the contact patch (essentially being given back the momentum that they lost coming in), however, as you can see by watching a pass of a top fueler/funny car, there are some pretty extreme deformations going on in the tire that may make the momemntum effect asymmetric. I would get your hands on the Hallum paper for some interesting reading, unfortunately, to me he seems to be back solving the problem w/ the way he presents the numbers. It is commendable anyhow to even attempt any such calculations in such a radical situation.