This just sounds mad coming from a British person. Almost all of our police are unarmed and do a decent job, the only place police routinely carry guns are airports for obvious reasons and Northern Ireland which literally had a decades-long sectarian insurgency happen there. At least nominally, the British police operate under Peel's idea of "policing by consent" where police officers are merely citizens in uniform charged with keeping order rather than the more Continental (at the time) model of armed enforcers of royal/state power.
It's hard to genuinely respect someone when there's a gun-related power dynamic forcing you to. That's not respect, that's just the threat of force. It's probably too late for America to adopt Peel's principles of policing but it's not done us much harm.