> being mugged
Mugging is a violent crime and should be policed - but studies also show that people vastly overestimate their risk of being mugged. It definitely happens, but I am very skeptical that "broken window" policing addresses these sorts of violent crimes.
A better move would be to de-densify poverty with mixed income housing, provide support resources, and build trust with police so people will report violent crimes.
> having their car broken into
Cars being broken in to? That's a different matter - I really don't think we have the capacity to police this in any meaningful way, it's a problem endemic to urban neighborhoods and is incredibly hard to police in a way that isn't super disproportionate.
Don't leave valuables in your car, don't lock your doors - they'll just open, rifle through, and leave. I've had my car rifled through tens of times and the most they ever got was some quarters I left in there.
The utilitarian in me feels like being exposed daily to random patdowns and harassments and having people jump out on you is much worse than that. Nobody should live in a neighborhood where the law enforcement doesn't treat them with dignity, just because of the color of their skin or their class background.
You can't cleanly separate what crimes you choose to care about from the policies in place. When voters tell elected officials "decrease car breakins, that's what impacts my vote" that'll translate to these disproportionate policies because the communities being policed do not have the power to sway the policy and it is easy to hide the impact of the policing from the voters.