Interesting question. I don't see how those programs in combination would present any problems, though I'm not that familiar with Somersizing. Would the idea be Atkins OWL as opposed to induction? I could see the idea of trying Somersizing with carb restrictions. I think she allows a lot more carbs (whole grains, etc.) with her program, right? If you eat Atkins allowed foods, count carbs, and eat meals with the combining principles I wouldn't imagine you'd have any problems.

Keep us posted!