> Police in the US are rightly very afraid when pulling over someone for something petty like speeding because that person could be upset and have a gun. Where I'm from cops are not afraid because nobody has guns.

They aren't actually scared. Publicly, they might talk about how stressful their jobs are etc. etc., but speak privately with one who is comfortable with you and you'll discover they are not scared in the slightest. They know everyone has their back and that they aren't really in any danger.