As this thread shows, the issue here is not uniquely American. However, as an American who has been living abroad for 7yrs and, like many others here, know cyclists killed by drivers (drivers, not vehicles, but drivers, a point to return to), I see severe cultural issues at work here.
Look at this reporting, which is typical, Former NBA center Shawn Bradley paralyzed after car strikes him during bike ride - CBS News, of this incident, emphasis added:
Former Dallas Mavericks player Shawn Bradley was left paralyzed after a biking accident in January … The accident caused a traumatic spinal cord injury
No, it was not a biking accident, a driver struck him with a vehicle. No, it was not an accident that caused his traumatic spinal cord injury, but the act of being violently struck by a driver of a vehicle.
The responsibility of drivers in the US is incredibly low, which permits these incidents to continue with little notice. The language is inculcated into the press and the police, which reinforces the problem.
It is indeed a different experience cycling on the road when you live in a country where a collision between a motor vehicle and a bicycle is assumed to be 100% the fault of the driver of the vehicle.
The laws in the US have long been designed to discriminate against anything that may impede a vehicle’s right of way, a concept baked into our culture (see also DUI laws and “defensive” purchases of SUVs/trucks). The near-complete absence of repercussions, with the rare exceptions proving the rule, results in virtually open-season on pedestrians and bicycles.
Sorry for the rant.