Based solely on what I’m reading here, I would say there are some serious differences.
It might be that French police is as disliked as American police, but it wouldn’t occur to me not to open quickly the glove compartment and search in it when stopped on the road by the police, for instance. I would similarly find outrageous some precautions apparently taken routinely (according to what I read here) by US police.
Basically, I would be affraid of American police because they seem incredibly more trigger happy than any police I’m accustomed to. I can’t feel safe when facing someone who might open fire at the drop of a hat because I didn’t keep my hands on the wheel, or I seemed to be holding something, or I seemed to not obey immediately to some random order shouted from a distance or something.
For comparison, two years ago or so, French police in the Paris area fired about 20 shots. Reasonnably assuming several shots for each incident, that’s a handful of occurences every year for 10 millions people. I read recently here similar figures for Germany. And ordinary police officers in the UK don’t even carry weapons at all.
You could say that there’s more violence in the USA, hence that the behavior of US police is understandable, but :
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I’m simply not convinced. I strongly suspect that US police is much more trigger happy than necessary, even considering a higher overall level of violence. Also, it seems (again, from what I read here) that they get away with it way too easily when shit happens.
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More to the point : even if justified, it wouldn’t make me any less warry of US police. It’s absurd that it would even cross your mind during some random interaction with the police that it could potentially be a life or death situation and that you must behave cautiously as a result.