Great program, I've been there and the footage reflects the beauty I saw there very well. It can be crowded and when I was there ('99) the scars of that mega wildfire were still very much visible, making parts of the park pretty depressing (although it's the natural course of things...).
Imo the eastern part of the park is the wildest and least crowded.
The funniest thing I saw was, whilst waiting for the buffalo's to clear the road, some idiot trying to get close (even shouting that he wanted to get on it's back) to the buffalo's for a photo... the buffalo wasn't pleased and made it clear to the guy they weren't a prop from the local tourist office.
And yes, don't miss Grand Teton, that's indeed one of the magic places on this earth. I suspect Yellowstone was created in order to 'hide' Grand Teton