I'm in the US, which also allows cars and peds to share a "green" in the same direction. I regularly have cars nearly run me over when they turn left/right while I'm in the crosswalk with a valid crossing signal. The problem, in the US, is that drivers don't give a shit about anybody but themselves. They are completely self-centered.

If there were penalties for hitting pedestrians or cyclists, this might change. I presume Germany has stricter enforcement of rules with regard to vehicle/ped/cycle interaction. In the US, there is almost none. Hitting a pedestrian or cyclist is almost always deemed an accident, with no fault assigned (or, if fault is assigned, a $200 fine is the result, not loss of driving privilege).