Is your assumption true? That is, leaving aside the fact that the police are ostensibly part of the populace, how would some police and a single APC pacify even a couple of blocks of citizens without the cooperation of those citizens?
Personally, and I realize that this is opinion, I do not believe your assumption is true, and as such is a pretty good example of why the ideas you are critiquing are useful- it is difficult to see the larger system of power described by the ability or inability to motivate people.