I've never been convinced of this "fact", once controlled for economic/social class and culture. I've certainly never seen the numbers controlled for economic/social class, culture, and any residual correlation between crime and race, which is what would be needed to actually conclude that the police were acting racist rather than rational.
Most of the "evidence" for the racial motivation of the violence is based on appeals to emotion and simplistic explanations, both of which are unlikely to capture the reality of the situation, coupled with lots of buzzwords intended to actually shut down conversation about the topic.
The publicity certainly hasn't been enough to prove their point: if police shootings are evenly distributed by total population, a black man should be shot every other day; if police shootings are evenly distributed by violent crime demographics, a black man or two should be shot every day. We're hearing about stories much less frequently than that, which doesn't tell us anything about whether or not it's racist, as opposed to merely militaristic and violent in general.
I think we're a far cry from showing that blacks account for >50% of fatal police shootings AND the discrepancy not being explained by cultural factors (such as being more likely to flee or resist).
Of course, people "feel" things, so why let facts and analysis intrude?