coconut milk wouldn't really replace much, but you can cook most things with coconut oil rather than butter or olive oil. for baking, you'll actually get a better texture a lot of the time. but why no butter or olive oil??
"dean ornish and dr. davis think the palmitic acid our bodies use for fuel while we sleep is poison if we eat it. zero-carbers like charles washington think the oldest fuel in our evolutionary history – glucose - used by organisms a billion years ago and without which the brains of modern mammals cannot survive for more than a few minutes – is an unnatural toxin if you eat it. both views ignore basic facts of medical physiology and defy evolutionary history." - kurt harris