Let's use a metric immune to over-policing and different definitions of "crime": https://en.wikipedia.org/wiki/List_of_countries_by_intention... puts the US homicide rate at 11.8x higher than SK.
The reliability of underlying national murder rate data may vary.
Homicide rates may be under-reported for political reasons.
Also, SK suicide rate is like 70% higher than US, and 50x their homicide rate; as a collectivist culture, it's not unthinkable to suspect that some of the people who would have been murdered in other countries are just shamed into taking themselves out instead.
And, FWIW, SK's 25+0.5 per 100k suicide/homicide rate eclipses America's 15+5 (roughly). If you don't want to die a violent death at the hands of a human being, the US is safer than SK.
The reliability of incarceration data can also vary, but you didn't dismiss that. In fact, all data is unreliable, so should we just give up on comparisons entirely? Unless you have a specific reason to think US/SK numbers are wrong (and by how much - we're not giving up on comparisons over 1-10% errors, when the difference is 10x), what you've done is provided a fully generic counterargument: "well data isn't perfect, therefore I am right and you are wrong."
> Homicides are also a fraction of violent crime, let alone all crime.
Typical feigned intellectual helplessness. Knowing nothing else, if the homicide rate is 2x higher, the most reasonable extrapolation is that violent crime in general is also 2x higher. And we use homicide because it's harder to fudge - if I used crime in general, your complaint would have been over-policing or different definitions instead.
> Also, SK suicide rate
How is suicide relevant to the incarceration rate? Especially when it's legal in both US and SK: https://en.wikipedia.org/wiki/Suicide_legislation
>, if the homicide rate is 2x higher, the most reasonable extrapolation is that violent crime in general is also 2x higher.
Not at all. Different societies have different net values (e.g., violence as a political tool or as a means to some economic end) which will influence the deadliness of violence. So will the nature of the weapons that are available. It's reasonable to expect a trend, but lockstep is unreasonable, and you always have to question if perhaps the situation is unintuitive and higher homicide rates don't go hand-in-hand with higher crime rates for a particular example.
>How is suicide relevant to the incarceration rate?
It isn't, but the incarceration rate was put forward to advance an argument about the relative virtue (and implicitly the relative safety and suitability for a dignified living) of American and SK societies. Suicide rate is relevant. Do you want to make it to your next birthday or not?