"It shows that Democratic run states (California, New York, Illinois, Washington, etc.) have lower murder rates than Republican run states (Alabama, Mississippi, Missouri, etc.)"
It's only showing the top ten. If it's actually claiming that, then we would need to see the comparison of all states, because some of the Republican run states have lower rates than some some of the Democrat run states. So it seems that we can't make that absolute statement.
We can see things like how New England is split between party and yet the rates are similarly low regardless of party running the state (still not addressing the city level claims). The article makes no mention of this. It simply picks the top ten, as Republicans could do for the cities with the highest murder rate. Neither address policies or the true underlying issues.
On top of that, it's looking at states that voted for Trump. Why did they choose this instead of looking at the governor's party? If they did that, the top state would flip categories.
Again, this article feel like a distraction that is highly politicized, mismatches counter argument to argument, and offers very little actual substance. Not to mention, the article is not presented in a way that would do anything other than validate one side's already held belief rather than dig into the topic.