This is quite verifiably false?
https://en.wikipedia.org/wiki/List_of_U.S._states_by_homicid...
https://en.wikipedia.org/wiki/List_of_Mexican_states_by_homi...
edit: fixed link
This is quite verifiably false?
https://en.wikipedia.org/wiki/List_of_U.S._states_by_homicid...
https://en.wikipedia.org/wiki/List_of_Mexican_states_by_homi...
edit: fixed link
I stayed in various of the "safe parts" of Mexico for three months and felt much safer than in any of various cities in the US, both experienced as a European traveller.
Also, even comparing apples to apples those stats don't paint the day to day reality of living in Mexico. Very often murders are from fights between narco gangs, or between narcos and the police/military.
Edit:
It's also true that crime and narco presence is not equally distributed.
See Queretaro vs Boston: