If interaction with the big screen were purely passive then I wouldn't have an issue with it. The problem is that it's a touch screen and is, by definition, not passive.
Controls for everything else like AC, volume, switching radio station/track is not needing to be done with the screen, it's all through classic buttons/knobs or steering wheel controls. I would not buy a car which required the screen to be touched for these things.
I don't see anything objectively more or less dangerous about operating a radio in this way, the only real difference is that instead of your radio frequency being visible through 7 segment displays, it's now on a high resolution display.
In my current vehicle I can change stations without taking my eyes off the road, I don't feel as if I'd be able to do that if it were on a touch screen due to the lack of tactile feedback.
Also, I've rented a few vehicles and I've never seen one that didn't have things like A/C on the touch screen, which is part of why I've formed the opinion I have. OTOH, what I've rented are minivans, where A/C is a bit more complex since it will often have a "driver/passenger" dichotomy as well as a "front/back"dichotomy.