Literally all you have to do, is give each police-cruiser 3 specific drones, that can:
target the vehicle being chased, & then EMP-kill that vehicle ( an electromagnetic pulse "bomb", which blows the vehicle's circuitry: it'd need a huge capacitor, & an inductor. The drone would be destroyed if it were near, so it'd need to be a disposable thing, not the chase-drone, which would need AI
track fleeing individuals, using biometrics ( gait, limb-geometry, iris-scan in a swoop, etc ), to get as much identifying information on 'em as possible, & keep identifying where they are, until their tracking is lost. This should have the ability to identify wireless/cellphone/BT signals, so as to identify if somebody is the same person as who entered a building a few minutes ago, and having other drones to cover the other exits, sharing information, would be intelligent/wise
get to a crash-site, & show the EMT's what need is there, so they can be preparing before they get to the site, for that specific set-of-injuries
etc.
Once someone's caught committing a crime, then all pretence of "you have no right to track me" can eat hot lead ( gaslighting needs to die ).
There is a category difference between full-on big-brother piling onto someone caught committing a crime, vs the evil panopticon/universal-molesting/no-privacy-whatsoever world that some big corporations ( some private, some gov't ) are pushing.
Use appropriate leverage, for the context, & prevent exploiters/supremacists from exercising such leverage on entire-populations, for sake of ( what remains of ) civil-rights.