I can't fully address your comment as I don't have access to the relevant data (regarding black community violence and its correlation with "heavy handed" police).

What I will suggest is that overall violence does not seem to be correlated with the rate of police killings - see the third image in ref. 1.

[1] http://mappingpoliceviolence.org/2015

EDIT:

I can't reply to you due to the HN rate limit. Please see my response below:

I appreciate your response but I take issue with the data source behind that post (ref 1). I don't intend to take it apart fully, but it appeared to included factors (e.g., average commute time) that:

1. Systematically disfavor urban areas

2. Have little bearing to the question at hand, whether violence is correlated with police killings

Additionally, my claim above (2) is that violence and police killings, across the municipalities with the highest rates of police killings, are not correlated (ref. 3).

[1] http://places.findthehome.com/#guide

[2] https://news.ycombinator.com/item?id=12048043

[3] http://static1.squarespace.com/static/54ecf211e4b0ed744420c5...