I am using a low carb medium fat diet (mistakenly called LCHF) In the early days while I was losing weight then my TC did rise temporarily, but since my weight has stabilised, my choleterol has reduced so that now my HDL has increased, my LDL has decreased, and my trigs have dropped nicely. It is true that increased lipids in the blood will cause LDL to rise, since LDL is the articulated lorries transporting the lipids to the shops. This is a natural process, and contrary to what the gp's say, is not the dangerous condition. Having high trig level is the danger pointer, since trigs represent damaged free radicals in the blood (small dense LDL or sLDL), and it is these that tend to form the blood clots in the arteries and cause other inflammation problems.
It is a tendancy that body builders and althletes use high protein diets to add muscle. but muscle is denser than body fat, so this tends to put on weight, not lose it. This type of diet suits active people who can burn off the excess, but for more sedentary people it is better (IMO) to either calorie or carb restrict for weight loss, since it is possible to overdose on the proteins, leading to potential kidney damage. The RDA for protein is around 0.8g for every kg of body weight per day.