Even accounting for the presence of cameras, what's really striking is the politeness of British officers. The whole character of an interaction changes when it starts with a cheery "alright mate, do you know why I've pulled you over?" rather than "license and registration, keep your hands where I can see them".
A confrontation starts long before a punch is thrown or a weapon is drawn. In the UK, there's a doctrine of verbal de-escalation and an acceptance of risk that just isn't there in the US. If you treat everyone you encounter as a deadly threat and escalate your response accordingly, it quickly becomes a self-fulfilling prophecy.