I am in two minds concerning this.
First of all police officers need to be much more transparent. Their accountability needs to be improved. Police brutality and esprit de corps types of cover-up of malfeasance is a problem worldwide. Not only in the US, but Germany and the UK, too. There are conflicting reports about the amount of force used during arrests. Too many detainees(the majority of which aren't hardened criminals) have suffered injuries while a band of coppers declared unisono that they fell down a flight of stairs, resisted arrests and the usual nonesense. I'd dearly like to see recordings for everything they do.
On the other hand we shouldn't forget that coppers are also persons with a right to privacy and that the ones who pick up drunks, get called to petty disputes and car accidents are notoriously underappreciated, underpaid and overworked with a high risk for burn-out. They do deserve our appreciation for that.
So I'd say that yes, we should do any type of recording including video, sound and GPS data. But we also need PROPER ways to protect the individual rights of the coppers. If the GPS data is needed for statistical analysis then we should store it anonymously and in bulk with no way to tie it back to individual officers. If we OTOH need that data for accountability purposes then it needs to be sealed away and only be accessed by court order. A proper court. Not a FISA kangaroo court.
You crack your little doughnut shop based jokes but if you spend some thought on a problem then you will find that it isn't so easy to solve in a world that stubbornly refuses to be black&white and where stereotypes hardly happen. This is not a third rate The Simpsons episode.