Infrared comprises a comparitively broad part of the spectrum. The wavelengths associated with the temperatures under discussion are far infrared so are indeed blocked by glass. Have a look at thermal imaging documentation. You may have in mind other frequencies in the infrared spectrum, near infrared will be passed, far infrared will be blocked by most glasses.
I'm not sure about your lensing statements. I doubt the focal length of a curved windshield would be short enough to make much of a difference. If you have data or references we can discuss it. The hot seats will heat the air and cause convection currents as you describe. They'll also radiate heat energy. When the butt contacts the seat, there will be conductive transfer. If the butt sweats, there will be evaporative heat losses. All mechanisms of heat transfer come into play. If you really want to get technical, convection will include radiation as the mechanism for heat transfer to the air, so the argument of convection vs radiation isn't wrong, it's just incomplete.
If you look at the wavelength vs transparency curve of the atmosphere, you'll see that the frequencies transmitted fairly closely approximate the sensitivity range of the human eye. This no doubt is why our eyes are sensitive to 400 to 800 nm frequency range. The amount of transmitted light falls off fairly sharply as you go above or below the visible spectrum. Practically this means most of the delivered energy is going to be in the visible range. If you want to quibble about infrared and ultraviolet that is slightly outside the visible spectrum, well that's OK but I don't think those ranges are going to be meaningful. Since energy increases with shorter wavelengths, the energy content should be more significant for the near UV than for the near IR. As you point out, the Tesla glass blocks the UV.
I suspect we probably agree more than we disagree.
Off the topic but interesting, did you know that the human eye has far fewer blue cone cells than green and red?