Ok, in my humble opinion you will always lose better and be healthier if you stay close to the induction foods (are they the same as Atkins in your plan?). The cleaner the better, the more good carbs consumed the better. Now, I don't think that means that you have to eat plain meat and veg which can get very very dull. There are a lots of nice recipies you can use that use foods allowed on induction, so i try to use these. Use as many herbs and spices as you can to make life interesting. Personally, I think a lot of people can get away with different types of food consumption than others, its a personal thing.
for example, a personal favourite of mine is lean minced pork, stir fried in some shredded cabbage, garlic, splash of soy sauce, chilli, squeeze of lime juice, fresh corriander and mint. This is induction friendly, and delicious (keep some for lunch next day).
Check out Bubbleboy's spinich quiche - its awsome .. I make one per week and have for lunch with salad or breakfast on the run. Again, induction friendly.
6 eggs beaten with 200ml cream, stir in 250g packet of frozen spinch (drained and thawed), handful of diced bacon, 3/4 cup grated parmesan, 1 cup grated tasty cheese. Bake at 180 degrees for about 55 mins.
I am also quite new at this, but really think you have to be inventive with your meals to stay on the wagon.
Welcome
Luscious