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Dragsters run tires that have a highly variable diameter, it's part of their gearing, short to get off the line transitioning to tall for top end.
A tires contact patch area is strictly determined by tire air pressure, weight of the vehicle at the tire, and sidewall compliance.
the shape of the patch is determined by the tire aspect ratio, lower aspect ratio gives a short wide patch, higher aspect ratio a long narrow one.
for acceleration the short wide one is desireable, it's not pure classic friction at the interface you also have chemical bonding of the tire to the road, that's one reason they do burnouts.
the hot sticky tires w/ soft rubber insinuates itself into all the little nooks and crannies of the surface and glues itself down, traction comes from breaking all of the chemical bonds
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