Homicide is a small percentage of violent crimes (close to 0.1%), so it isn't necessarily what skews the prison population. Thankfully, by your logic, violent crime in general would do that, but it becomes much less clear using that data.
The gap in violent crime is much smaller than 6 times according to this DOJ report:
http://www.bjs.gov/content/pub/pdf/cv14.pdf
summed up in:
http://www.amren.com/news/2015/07/new-doj-statistics-on-race...
Comparing the violent crime rates to the % population in the US (63.7% white pop; 42.9% offenders | 12.6% black pop; 22.4% offenders), it's roughly 2.8 times as high for black as whites per person. Bad, but not quite 6 times as high by any measure.
Going back to the original number of total offenders, it would make sense (assuming violent crime is represented disproportionately), that roughly 42% of those imprisoned are white and 22.4% are black; instead blacks account for a whopping 37% of the prison population and whites only 22%.
It would seem something more is going on here.
Honestly I'm not surprised blacks dislike officers either; unarmed blacks are 3.49 time more likely to be shot by an officer according to a bayesian analysis[1]. They also found no relationship between this statistic and crime rate in the area.
[1] http://journals.plos.org/plosone/article?id=10.1371/journal....