E.g. somebody that wants to rob you could just stand in front of your car (or put some small obstacle) knowing that the car will stop (to avoid damaging itself and/or whatever is in front of it).
Even in the case of simpler tech which is generally available already today some unexpected problems might arise once people become really aware that it exists on 99% of the vehicles.
For example, in the case of an at least partially selfish person, why should s/he wait to cross the street if s/he knows that the car that is nearing has an anti-collision/auto-break system? I admit that I might even start doing that myself whenever I'm late for something, have to catch the bus, etc... :)
Might end up being a funny experience sitting in a car that has to do emergency breaking every other minute... :)