Remember that fat is an efficient form of energy intake, in that it requires little processing digestively and has a very high food energy content by mass, unlike carbs which undergo a very thorough breaking down process in the gut and aren't all that dense in energy in comparison. In fact, if memory serves correct, fats have about double the energy density of carbs. So where you might have consumed 200g of carbs per day on an ordinary diet, you'd only need to consume 100g per day of straight fat on a low-to-no-carb diet to match the energy levels.
So you really don't need all that much fat. Just read the labels of the stuff you're consuming and weigh proteins that contain fats. Also remember that proteins contain energy too, and you're more than likely consuming a fair amount of Kj in sugar from veg and fruit. So it's not as if you need a boatload of the stuff. You just need to maintain an equilibrium with your own body. Your intake is dependent on age, weight, general health, and even race to an extent.
Don't gorge on fat for the sake of it. Consume enough to maintain healthy energy levels in your body - that's really all that you will need. All you're trying to do is prevent your body from utilising other energy storage systems, like muscles. While I haven't looked into this in great deal, I imagine that if you consume a large quantity of fat, your body will have no need to utilise stored fat, and you're not going to shed anything at all...