Is it a particularly European belief that Americans are unenlightened savages? I mean, we are, but you don't have to assume it.
The public discourse about cycling in America is dominated by myths, because very few Americans have practical experience of regular cycling. Those who do cycle tend to be self-taught, because of the limited availability of cycle training and the lack of a strong tradition of club cycling. America is having to rebuild a culture of cycling from scratch, for no other reason than the ubiquity of the motorcar.
Some of us do cycle, too. There are miles and miles of good trails running through some cities you wouldn't expect.
Also, more pertinent to Plano, what if you want to replace your car entirely? Grocery stores are still pretty spaced out and you are SoL if you want to get into Dallas proper! The DART is incredibly slow, so that's out, and biking from Plano to a night on the town with your friends is Deep Ellum or Greenville Ave is a tall, dangerous order.
Keep it 214!
That depends on how Asia and Africa see America ;)
Certainly made urban, young, progressive America quite a but more impressive when I visited!