The China Study just as readily proved that meat is healthy and wheat is the most harmful substance on the planet as it "proved" that vegetarian diets are best (actually more so the former than the latter).
On the other hand, who gives an absolute sh*t about what some hunched over hairy ape was eating 2 million years ago? Ok, granted they had better posture than most humans now adays. And better teeth. And better circulation. And bigger brains. But even still it's more important to go with what ever works for you.
I got a range of tests run after 8 months on a severely high saturated fat, high cholesterol, high sodium diet of mainly red meat. HDL 56, Triglycerides 54, LDL Pattern A (light fluffy awesome), liver/kidneys/pancreas functioning perfect and blood pressure under the recommended target (in a good way).
As far as the meat emphasis goes, "natural feed" is just as important if not more than organic. This means ruminants graze on grass, pigs eat everything (except wheat) and fish comes from the sea. Favor organ meats over fancy steaks and eat the fat over the muscle. Learn how to cook liver, bone marrow and rich braising cuts correctly.
Paleo doesn't have to be ketogenic (ie: under 50g carbs a day) and it really shouldn't be if you do a decent amount of exercising, which considering the increased hormonal levels you'll get will probably become a compulsion. Just find the sweet spot that works for you.