Well, we are now talking about the entire US government instead of just US police. Certainly a state has a greater pool of resources to draw upon for war if it chooses to do so, but comparing a state with groups of mercenaries or vigilantes is impossible because of the myriad of different forms they could take. One would be comparing a single large casualty number vs. many much smaller numbers. The Iraq war is estimated to have had 150,000 to over 600,000 civilian casualties in the first three to four years of conflict, although I believe that is total, not just casualties attributed to the US. The US had a population of just under 300,000,000 at the time. Revolutionary Catalonia is the best large example of a large-scale anarchical society I can find, and in 1936 is estimated to have had 8,350 killings for a population of under 3,000,000 [0]. Of course those two examples are more on the extreme side, and there are infinite nuances, such as the fact that not all civilians in the civil war were innocent, the same with Revolutionary Catalonia. They both were extremely different times as well.
I'd say it's a toss-up if I absolutely had to guess.
[0] https://en.wikipedia.org/wiki/Revolutionary_Catalonia