Touch screens are great for dynamic interfaces, but terrible for anything that involves feedback or a tactile experience.
My vehicle - though not a Tesla - still pisses me off that all the stereo controls except the power button are touch-based (even power appears to be a software-activated button as it failed once when the unit locked up). The saving point on my vehicle is that the steering controls (volume, prev/next) do still exist as physical buttons.
At the very least, they're should be a physical on/off, and physical dials/controls for volume and heating adjustments so a driver can change those without taking eyes off the road.
Sounds like they probably last used AMD devices shortly after the ATI acquisition, and yeah for awhile the drivers were absolutely shyte (as they were with ATI).
The second possibility it's - as you mentioned -, running bleeding-edge (i.e. trying to run a video device just released). I got a 6900XT early when they came out and drivers were a bit finicky for maybe the first 1-2mo. I think I had to manually download the firmware files to get it running. However, I've had the same issues - or worse - with other vendors in that regard.
Apart from that, then anything in the last half decade shouldn't require any driver installs and minimum to no tinkering. It's all