Suggestion:

One or the other. Either is effective for some people.

The reason I don't think mixing works that well is that cheating on Atkins makes you retain water that makes your weight fluctuate whenever you eat more carbs. This takes 2-3 days to catch up and then start again.

I tried CAD around the holidays and it didn't work for me. I am a real snacker and the 3 meals only didn't work for me.

Why not read about CAD and try it for two weeks and see how your body reacts. You are allowed to always come back....