The police are worse because they’ve been systematically trained to be worse. For decades they’ve been trained to be paranoid and to default to violence; “better judged by twelve than carried by six”. They are taught to grossly overestimate how dangerous being a police officer is and to be ready to see threats everywhere, and kill them.
They also spend a lot of time training in Israel or by Israeli trainers, basically being taught to think like an occupying force.