That's not as big a deal because when there's a warrant your lawyer can challenge the warrant, and if you later win your appeal then they usually have to throw out all the evidence acquired after that, unless it was 100% independent. Usually everything else would follow from the result of that search. So it's the interests of the smart cops, court clerks, judges, prosecutors, etc., to make sure the dumb cop doesn't screw it up. Notice how that is independent of if they all would prefer to support the cop doing whatever he wants! Asking cops to be good doesn't help, but throwing out the case because they didn't dot the i's has real value. That's the power of a warrant.
Without a warrant, even if you prove he shouldn't have done it, if they just say, "Gosh, it was an honest mistake" then no evidence gets thrown out, because it's almost entirely up to the discretion of the trial judge.
You're not going to get a nationwide ban or anything, so your proposed question is absurd. It doesn't provide any meaningful avenue to add checks and balances to this power that the police will have in many locations, including locations you may travel through. And as more and more vehicle-based cameras get added to the network, even local prohibitions on the police might not help since all you can really do at the local level is prevent the police from paying for service contracts, and sometimes to control what gets installed on utility poles. (Though in many cases only the State can actually prevent those installations)
It's very difficult/unlikely to get State-level prohibitions, and federal prohibitions? Not in this era. Maybe in 50 years, if we still have a functioning democratic republic.