Hail found CDC data on white homicide rates by state from 1960. Comparing those with rates from the 2000s* yields a statistically significant positive correlation of .74. More than half of a state's modern white murder rate is 'explained' by what its white murder rate was a couple of generations ago. Everyday things change but basically they stay the same.
* Excluding DC, for which contemporary data appears to be erroneous, and Florida, for which figures on homicide by race aren't publicly available.