If you are implying cops would shoot a black man, but under the exact same circumstances they would hold fire because the suspect was white, then I have to disagree with you.
You have to judge each incident separately by it's on circumstances and surrounding facts. You can't say because a black suspect was shot and in a completely separate incident a white suspect was taken into custody that it automatically equals racism, unless you've got some facts supporting it. You can sight statistics, but when race is the only factor you consider your conclusion will be flawed.
I'm not saying racism doesn't exist (because fuck yes it does!), but you tend to see it in about 101% of all shooting if a black person is shot or a white is not. I don't think race is the deciding factor in most shootings to the degree you think it is. More likely it's the particular situation and often the suspect's decision to comply or resits lawful arrest attempts.
And
Eric Garner died because he resisted lawful attempts to arrest him. He chose to fight his case on the street against several cops rather than fight the charge in court. We can say the cops went too far, we can say the choke hold is an outdated and dangerous tool, we can say fighting cops while suffering from obesity, heart disease and asthma is a bad idea, but Eric Garner would likely be alive today if he had just let himself be cuffed.
EDIT: And police misconduct, which there was a ton of in the Eric Garner case as well as with the treatment of Ramsey Orta who recorded Garner's arrest, must be fought in the courts. The courts are the only place it is possible to win such a case. In the streets, physically fighting an arrest is only likely to get you killed. Ask Eric Garner.