I have bad acne. I recently started using cetaphil, which is a cleanser, and my face has been clearing up pretty well. You can get it at any drugstore. I got mine at walmart. It is not a soap, but a special kind of cleanser. It doesn't look like it would clean your face, but it really does. I think I was overusing acne washes and products.
Have you been excercising? If so, you might want to consider washing your face before and after, because the sweat can clog pores. Your body may be adjusting to your diet changes, as well. Just a thought.