Comment by gambiting

From your description it sounds like 112 and 911 function more or less the same, you call and depending on the problem a dispatcher sends police, fire, or medical.

The issue described with 911 is that the dispatcher will default to the police for something like a mental health crisis which might escalate things to violence. The solution is to change how these calls are handled by the dispatchers and first responders. There already is a centralized number.