Carb-free meat diet, I don't think that's possible. Even myself while trying out a high-fat low-carb meat diet, I was still eating minimum amounts of carbs. No carbs though sounds very unhealthy and will make you feel like crap all day, not to mention how lethargic you will feel all day.
There's actually been several studies where researchers found that people who went on very low-carb diets were able to reverse the effects of diabetes better than any other diet:
http://diabetes.about.com/od/nutrition/qt/locarbdiabetes.htmAlso, low-carb diets are the best way to lose body fat in a short amount of time, compared to high-carb diets. I don't advocate either; the best diet is one that is well-balanced and includes fruits, veggies, whole grains, meats, nuts, dairy, etc.