If I had to generalize about the military and the police, I'd have a lot more fear for police. The veterans I've known by and large hate the government, which is ironic. But cops have zero compunction against violently attacking the people.
Especially because the police are not professional soldiers. They might think that that APC of theirs makes them invulnerable and pull some crazy shit. Actual soldiers with one APC would live in dread of rednecks with hunting rifles.