It's not even "revolve around bike transport", it's just "include bike transport as a serious and viable option".
I imagine that in Denmark people with disabilities have some disadvantages, but I doubt that daily life is virtually impossible because they're unable to bike.
However, in most of the US and Canada, if you don't have a car, your life is extremely difficult. The cities truly do revolve around cars.
Nah, I switched to cycling because of the weather. In the winter it took me longer to clear the car windows of snow and ice that the actual drive to my work. Now with a bike I'm about as fast as with my car in total. But a bike costs less than a car - by a lot! It's something like 50-80 bucks per year including a service at my local bike dealer. That wouldn't get me enough gas to keep my car running for a month.
If weather is a concern for you then you need to research how to cloth yourself for different kind of weathers. It's perfectly fine to ride by bike in -15 °C (5 F) or strong rain with the right kind of clothes.