Using Touring cars as a comparison is a bad example. As already mentioned, race circuits are pretty smooth compared to streets. Ride comfort isn't the only issue on the street - bumps, dips, potholes, speed humps, kerbs, entrances to driveways, drains and other things also matter.
Race cars are also designed to a certain weight and the wheel arches are much deeper than on road cars (as in, they intrude further into the engine bay) so in theory the tyres should never rub unless they've had some contact. In that awful Civic on the first page, I would not be surprised in the slightest if the driver can't steer past a certain point, and I'd be even less surprised if it grounded out or the car hit the bump-stops on rough roads or with a few people on board - neither of which your average touring car comes across.
In addition, the springs and dampers the teams use are much more fit for purpose than the generic lowering springs/coilovers on the red Civic. They cost many thousands of dollars per corner and the teams and drivers spend hours every meeting setting them up for the circuit they're on. I'm fairly confident in saying that despite the lowness and stiffness of the touring cars, they probably still have a better ride quality than that Civic, just because the springs and dampers are so well designed.
There is no way in the world that red coupe is designed for competition. It would get absolutely owned around a circuit or a twisty road by the yellow Civic I posted, which is designed as a road and track car, and not just a posing machine.