Around 20 percent of young people in this country are now Hispanic, meaning mostly mestizo and Amerindian, who tend to be obese on the modern high-carb, abundant diet.
In my elementary graduating class, 70 children, there was one obese girl, and about four kids who were chubby/beefy.
Most of the states listed do have large black populations. It appears that, rather than race, the three best indicators of obesity are exercise (or lack thereof), fruit and vegetable consumption), and smoking (surprising as this tends to suppress appetite).
If the Feds want to have a positive effect on obesity, various food aid programs should encourage the consumption of fruits, vegetables, meats, and dairy that are unprocessed, or canned or frozen without sugar and other additives. However, no Senator or Congressman wants to face the wrath of lower income voters who can no longer buy packaged or junk foods. The voters might actually have to cook, rather than microwave or reheat.