If you can manage high in fat and low in calories, all the more power to ya. If you are noticing that your diet is very high in fat and high in calories, you get lots more bang for you buck, calorie-cutting-wise, when you drop some of the fat.
Cutting carbs, which are relatively low in calories, compared to fat, doesn't buy you much. Protein is more satiating, along with fiber. Figure out how to keep those in your diet and you'll have a better chance at losing the weight and keeping it off.