There is a lot of criminological evidence that the deterrent effect of policing is proportional to the predictability of the crime being solved, rather than the harshness of the punishment.
If we want less murders, we need to put more effort into catching murderers. That is where the cause and effect relationship lies. It is also something that the British know how to do, and which we could learn from.
Source: https://www.economist.com/graphic-detail/2021/05/21/how-amer...
Britain at 1.2, white Americans at 2.2, African Americans at 15.5
I'll say this other thing though. Rates of violence aside, first world democracies that curbed gun ownership typically show better measures of development (for men and women) across the board. There was no slippery slope of lost freedom and government didn't suddenly oppress their unarmed citizens.
https://www.rand.org/research/gun-policy/analysis/essays/199...
So, personally (subjectively), I don't find it admirable at all. Freedom is a good default option, but I see America's gun culture as pretty sickening.