To be honest, I don't think food has much to do with it. My sisters (6,6,12) watch tv almost all day. My mom, when she does cook, makes ground hamburger with anything she can find, otherwise they eat pizze and fast food several times a week. Half her grocery bills are junk food. But all three of them are average wieght or under. Explain that.
There is actually possible genetic influences on binge eating though, monozygotic twins are more likely to both have the problem, which means there is some genetic influence. Its possible that binge eating will be added to the dsm with anorexia and other eating disorders.