Shorter distances is a good argument, but there also others differences which aren't advantage.
Most of my observations are from France, since it's where I live, but it should be correct for Germany, Spain, UK at least.
Plus :
* shorter distances
* higher gas price in EU than US
Minus :
* people usually commute by public transportation. In big cities, they don't even own a car. There is no place to park it, and it's kinda useless, since it take longer to go somewhere by car than by public transport.
* For medium distance (100~1000 km), people use both car and train. It's maybe 50/50, depending on the need of car at destination. You are always more independent by car, but by train you arrive quicker, and rested (a good rail network helping).
* On the 'social' side of things, the car ownership is not a thing the way it is in america (or is it a generation thing / Hollywood exaggeration, I don't know). European young adult buy a car when they need one, not as soon as possible to show they can support themselves.