As part of a group of "compulsive overeaters", I think that there is a correlation, but not necessary a one that will show up in the mass population. Everyone of us is obsessive about food and other thing in our lives. We are obessive-compulsive people, but few of us are sufficiently severe to be diagnosed with OCD.
Most of us also use our obessive-compulsive nature for our work...our other unbalanced portions of our lives where we enjoy and spend time, after recognizing the problem. This is not our only common problem, but a frequent one, to common for no connection. Until we recognize that obesity is not a single problem but a group, and address each and every single problem, I predict there will be no solution.
Mild obsessive compulsive thinking can be handled by the relabel, reframe, refocus, revalue method developed by Dr. Schwartz ... http://www.youarenotyourbrain.com/drschwartz/
His first book, Brain Lock, helped me a great deal.