In the UK the vast majority (don't know the hard figure, but guessing something like 95%) of police are unarmed with the exception of maybe pepper spray or the occasional blunt stick (I think even that is less common now). Only a small minority of police in the UK are even trained in firearms, and they are meant to be the elite (physically, psychologically, and morally) with years of experience and countless hours of recurring training. UK police, in principle, try to operate via a community policing and policing by consent principle that assumes cooperation and negotiation as the norm of police work with coercive force as only a very last resort. UK police don't use the threat of force as leverage as explicitly as you are suggesting, and they very very rarely have guns.
Our police force isn't perfect, and is far from having a spotless record with minority groups, but they do represent an alternative model of policing that doesn't have to be about the threat or show of force. Police are meant to be about enabling civilian self-policing; not military occupation.
https://en.wikipedia.org/wiki/Peelian_principles
