Conservatives are so willing to throw in the towel on guns before even really trying. Pick any of these countries as a model!

The issue isn't as simple as a single factor like gun laws, it's actual mixed with a cultural problem. If you've argued about this quite a bit, you should have heard of Switzerland that has an high gun ownership rate, liberal gun laws, and low homicide rate. On the other side, a few counties with strict firearm laws have extremely high homicide rates, which your source left out due to income.

https://en.wikipedia.org/wiki/Firearms_regulation_in_Switzerland
https://en.wikipedia.org/wiki/List_of_countries_by_intentional_homicide_rate

Here's one that has Switzerland

Their rate of gun homicide is "low" compared to ours, but still at the upper range of similar-income countries.

Actually your graph itself shows the problem and even then does nor appear to be accurate. The actual rate for Switzerland is lower when measures by 100,000 rather than millions that your graph claims.
https://dataunodc.un.org/crime/intentional-homicide-victims