I think your approach is decent but you've perhaps downplayed a thing or two in your analysis of the counterfactual.
The rate goes from 50% to 40% when the "race: unknown" cases are removed included.
A black person is 7 times more likely than a white person to be wrongly accused of homicide.
The US police force (including the FBI) are unfortunately, institutionally, foundationally racist.
Most crucially, the 50% refers only to arrests made, not convictions. This is especially interesting when taken with the above points (though coming up with corrected figures is too much hard work for me today)
Finally, if we were to assume the numbers are true and accurate, what would that actually tell us? White supremacists would have you believe it's proof of some kind of genetic inferiority. I could get into why that argument is utterly retarded but it would be a wall of text so, unless you ask. I think what it points to are two things: systemic racism in policing and crime reporting, and a race-biased wealth gap causing greater crime in African-American communities.