Let us assume for a moment you are constitutionally incapable of racism: you are a magic unicorn that simply cannot harbor any ill feelings or make judgements based solely on race.

Why would you support the Ferguson police narrative over others?

Well, I suppose there’s “deference to authority”: the police are duly-appointed by our government (of, by, and for the people). They are an authority and in a position that is difficult and complex on the best of days. You might live next door to your local police officer or have friends/neighbors who are former cops.

So I guess deference to authority is perfectly reasonable, except it gets weird when you’re a Tea Partier who considers nearly all aspects of our government fraudulent or illegal. Like the Posse Comitatus guys: they only accept “the local sheriff” as valid law enforcement since large standing police forces are the first tool of oppression.

So our hypothetical can’t-be-racist then logically can’t be a Tea Party member, without constantly having a headache from all the cognitive dissonance.

There could be classism, which our hypothetical can’t-be-racist person CAN experience: a general dislike of ANYONE they perceive as poor. Local demographics could make it such that more blacks are under the poverty line than whites, making it APPEAR race-related, but our hypothetical would be just as irritated at poor white people.

What else? I’m running out of scenarios.

Edited to add:
http://www.buzzfeed.com/jimdalrympleii/why-darren-wilson-supporters-are-rallying-in-st-louis has some good stuff, actually, eg:

Clearmountain was among those at the rally who cited the danger of police work as a reason to afford officers respect. Her connection to police goes back a lifetime; according to Clearmountain, 59, her father worked as a police officer who came to St. Louis to desegregate the department. She especially lamented a lack of respect for police among younger generations.