It really does appear that the fix for all of the gun problems listed would be the elimination of a large portion of the guns.
Especially the kind of guns that are most useful in gun related crimes. (handguns, black assault weapons, etc?)
Let's begin with the first crime:
The large majority of police shootings will be the shooting of a person with a gun. Or at least the police suspecting a gun.
Maybe each of the listed example can be examined in the same way, in order to turn this thread into a useful discussion on America's gun problems.
How would that eliminate gun crime? We have ample evidence that where guns are outlawed the criminal element has no problems obtaining guns.
Japan. Long held as the ultimate gun control ideal, has had to admit that the Yakuza have more than twice as many guns as Yakuza members.
So, your solution is a failure in the most restrictive, and easily policed country on the planet.