Earth, I eat way more fat now than I ever did...but it's good fats that help lower my cholesterol (like olive oil, soybean oil, canola oil, walnuts, and avocados) rather than the trans fat and saturated fat crap I was eating before.
It's helped immensely. But I agree, chicas...unless the diet is obviously very unhealthy, basically any plan will work for anyone as long as they find the one that fits for them. Suzanne and Jennifer are always saying that, and I do agree with them. SBD is the fit for me.
If Atkins is a better fit for you, then do that...but I'd take some of what you learned from SBD and incorporate it in terms of the fats so you keep yourself healthy.
P.S. Zelda, if you do Phase 1 without any sugar sneaking in, you'll have no cravings in Phase 2. You shouldn't feel any more in need of carbs than you did on Atkins. If you do, you might want to post what you're eating for us and we can help you locate the culprits that are making you crave again. Do a quick P1 to get back on track and you'll be fine.