> Given that police report to local governments in the US, I would expect diverse responses.
It doesn't work that way.
Lots of funding for local police comes from state and federal programs. So police end up doing the same thing museums, local theaters, and various other non-profits do-- they do the work required to continue getting the grant money that sustains them.
With a lot of this funding comes conditions in the grant that the department has to fulfill the program's purpose in order to continue getting funding. If a department secures funds to buy a hummer, some rifles, bullet-proof vests, and a drug dog they can't just use those things to take citizens deer hunting all year. They have to put it all to use and show that it was effectively used to fight drugs, or whatever the program is about.
Unfortunately, the U.S. did this batshit insane trillion dollar invasion of Iraq, and now we have a surplus of military equipment and military ideas up for domestic application. So most local police have a decision tree with one branch on it-- sign up for the programs that fund you for "war on drugs" and "post-Iraq war military surplus equipment and ideas" programs. Then maintain funding by doing all the training and policing within the guidelines of those programs and documenting it for further funding.
I don't see any easy way out. Imagine you're an officer and there's a program that will fly you out to an all-expenses-paid anti-terrorism training where you watch your instructors simulate bomb threats and blow a bunch of shit up. What are you going to do, not go?