I don't think physical bitcoin muggings should be crimes for police to handle. Let's see how deep the anarchist rabbit hole goes. Not much of a "trust less" system if its all backed up with guys with guns anyway.
My issue with this is what is the response when someone says "give me your bitcoins" and the other person replies "I don't have any." You're going to clearly be hitting people who are not wanting to participate in your experiment.