I'll make this short and sweet, because I have said this on the board b4...
you need fat because KETOSIS, is a stage where your body is in "fat burning mode", this means your body burns fat as fuel, not Carbs, now if you have too much protein (then the protein can be broken down by the body into Pyruvic acid, Acetyl CO-enzyme A, and citric acid which are all products of GLUCOSE break down too) so In order for your body to burn fat efficiently you need to make your diet mostly fat, NOT mostly protein, or it will not work probably
Yes, your idea that saturated fats are bad for you is a feasible idea, yet you can try eating things like FLAXseed oil, grapeseed oil, olive oil, sesamese seed oil(just cook w/ them EXCEPT FLAXSEED OIL -000DO NOT COOK W/ it's nasty) take about 4 tbsp. of flax oil a day w/ the rest of "clean" fats, and you'll see awsome results ...make sure you get a 75/25 ratio
My 2cents
Mr.X