Is the US 40 to 100 times more dangerous than Germany? You tell me, I've never been there.
(Germany is just an example. The UK, Canada, Austria, and probably many other countries in the EU all kill less than 10 people per year).
This changes things for the police. If a cop in Germany confronts a belligerent citizen, said citizen may take a punch at the cop. The cop is probably better trained, and also probably in better shape. Still, s/he could lose. If so, s/he may get teased by other cops back the station.
In the US, the cop has to worry about the belligerent citizen taking a shot at the cop. If the cop loses that encounter, the other cops at the station will speak very respectfully to the cop's widow(er). That's a completely different proposition. It means that the US cops are on a hyper hair-trigger alert that German cops don't have to be.
Disclaimer: I don't work in law enforcement. It's been many years since I was in Germany. This is my perception only.