I don't think bias is the main problem with FR. I think the problem is more of the police performing mass FR. Although perfect FR by a (fictional) benevolent police force could allow much easier capture of all criminals, I think most Americans are more afraid of an all-powerful police force made possible by FR than they are of the status quo that many criminals go uncaught for a long time (and possibly forever). And I think that the militaristic behavior of cops and police departments have earned that.
The (hopefully) hyperbolic version of this fear is: Say you were wanted for a crime, and nobody believed you (or perhaps you're guilty but it's a BS law). If it's perfectly legal for them to do so, maybe the cops will just fly a killdrone over places you're known to frequent and shoot you on sight, and say 'Gee, sorry if you were offended, but (Name) was a dangerous criminal, wanted for terrorism and refused to turn himself in, we had no choice.'