I have used diets based on the Adkins principle in the past. Sometimes they have worked, sometimes not. I was never able to stay on them long. I am interested on how this works for you long term. Are you after rapid weight loss or do you plan on this being a life long regime? From the pic you don't appear to have any significant weight problem.
Have fun with the kids - they are a blast to have around. Sounds like he is a real trooper.