The other thing is, there are many police stations in America that have a significant percentage of minority police officers. It's not like police departments are just filled with white rednecks.
Would anyone really think, in any case, in the midst of a Zombie Apocalypse, the police would be more concerned about arresting people of colour on trumped up charges than the threat of Zombies all over the city? Plant like cocaine in their back pocket and tell them to put their hands up.
"I told you to put your hands up!"
*Shoots unarmed man*
"I thought I saw a gun"