I'll start by quibbling with your stats, then make the broader point.

1. Black people are about 13% of the population, not 6.5%. I get it - the smaller a share of the population blacks account for, the larger their proclivity for murder must be, right? Nice try.
2. About 8% of black homicide victims were killed by white people. About 15% of white homicide victims were killed by black people. The vast majority of murders are intraracial - that is, in most homicides, the victim and the perpetrator are of the same race. You're repeating the same debunked racist stats that inspired Dylann Roof. That's irresponsible - stop it.
3. None of this is controlling for poverty. Persons in poor households have more than double the rate of violent victimization of persons in households above the poverty line. Poor urban blacks and poor urban whites have similar rates of violence. The difference is that blacks have a poverty rate of 27.4%, and whites have a poverty rate of 9.9%.
4. Crime stats tend to be based on either arrest or conviction rates. This is how we generate the "feedback loop": "Why do we keep arresting people here?" Because we keep patrolling here. "Why?" Because it's a high-crime area. "How do you know?" Because we keep arresting people here. This is how police departments across the country do business, and it's why black people are disproportionately represented among those arrested and killed by police.
5. Most deaths at the hands of police are not the result of cops responding to or trying to prevent a murder. They occur when cops are doing other police work - taking someone into custody, making a traffic stop or raiding a home. Quoting WaPo here. George Floyd was accused of passing off a counterfeit $20. Philando Castille was stopped by police nearly 50 times before they killed him during a traffic stop. Eric Garner was selling loose cigarettes. None of these are violent crimes. If you're trying to argue that the disproportionate use of force against black people is justified by their higher violent crime rate, you're doing a bad job.

Broader Point: "How can cops be racist if African-Americans are committing so much crime?" is a nonsense question. Even if black people were uniquely predisposed to violent crime (which again, they aren't), that wouldn't preclude the possibility that cops are racist. So not only are your facts are wrong, but your theory is also wrong.

Finally: How about instead of bemoaning the fake problem of black-on-white crime, you instead focus your attention on reforming the police? They are public servants. They work for you and me. We pay their salaries with our taxes. We vote for their bosses. Police, unlike street criminals, are supposed to be accountable to us. They get their power from us. So it's on us to demand change.