I can see why you would be tempted to do this, and I saw an advert for this product the other day and briefly wondered if it would help - but then saw it needed a low fat diet. So I think Georgiana is right - Atkins is a dietary approach that requires a high level of fat (comparatively).
Though it seems odd when you've been doing low fat methods before you need the fat for this work. Trying to limit your fat intake whilst on Atkins is bringing together two kinds of diet in a way which means I don't think you could do well on either of them.
Best of luck with your WOL, whichever you chose though