I wonder if a similar model, with different details, could work in the US? In the limit, that could involve police cars or foot patrols working in pairs, one unarmed and doing the actual policing, and another one following some way behind, but not getting involved unless a gun was spotted. Put body cameras on the unarmed unit, with the armed officers watching a live feed, so they don't even have to wait for a call.
That said, as the wikipedia article points out, the British model does not extend to the whole of the UK - police in Northern Ireland routinely carry guns, which in 2020 is rather depressing.
[1] https://www.eliteukforces.info/police/CO19/weapons/
[2] https://en.wikipedia.org/wiki/List_of_police_firearms_in_the...
What cops really need is more training to not shoot first and ask questions later. 18yo marines manning checkpoints in the middle east are expected to more or less hold their fire until they come under fire. Domestic police should be held to similiar standards.
You could say that disarmed police in regular patrols can be safer as it is less of a threat to a criminal. this would obviously not apply to known cases of dangers or cases were reinforcements are unlikely.