In the negative stereotyping of blacks, the media are complicit. They mostly show us blacks in conflict with the law. There's more to black lives than that, but it's invisible in the media. Being wrongly suspected hurts, especially when it is the actions of a few which cause that suspicion. Instead of blaming the police for trying to do their job, blame the people whose behaviour damages the community's reputation. 
No one has proven a significant rate of false convictions. So the solution to disproportionate incarceration rates for some minorities is not less policing but less lawbreaking. Community activists should explore what is needed to help their brothers obey the laws.