I think you're going to find that working class people living in low and middle income neighborhoods do not agree with you about this. They're unhappy with how police response tends to traumatize the innocent in their neighborhoods, but they're even more unhappy with how police response appears only to halfheartedly address crime, which falls heavier (both in frequency and impact) on lower-income people than it does on the wealthy.

You can read meeting minutes from neighborhood and beat meetings to confirm this (there's probably lots of things you can read to confirm it, but the nerdiest way to do it is to get the raw data.)

A shorter way to say all of this: you're expressing a luxury belief.