As you know the Atkins diet is a high protein ---extreamly low carbo diet.
All meat contains no fiber so you have to get your fiber from veggies -- a sort of difficult thing to do without psyllium.
I would say if your an IBS'er that has constipation ---you may have some trouble. If your prone to diarrhea it may work. But, I really think it is going to be a tough balancing diet to follow.
I like the diet outline in "Protein Power" better. It's just not as strict.
At any rate --I wish you well--Harry