It's not the broad category of "Fats" vs "Carbs". It's the TYPE of food. Eat good food. Period. Not something made in a factory. Twinkies: out. Soda: out. Standard pizza with refined grains and loads of cheese: out.
Eat healthy food: the right meats, fruits, vegetables, whole grains and lots of water. Don't eat crap. Exercise.
It really isn't rocket science, but when we make one food group "bad" and the other one "good" just so we have another excuse to eat junk, we lose.