There is some possibility that diet can reduce inflammation. It is not yet the subject of a study, but it is not hard to connect the dots. First, there is a characteristic of Crohn's called mesenteric fat or fat wrapping. It was described by Dr. Crohn when he first identified the disease. Since fat has been considered a simple store of energy until fairly recently - about
fifteen years ago - it has been neglected in research. More recent investigations have shown that this fat reacts to intestinal inflammation with an inflammatory response of its own - making the inflammation much more pronounced. In fact, mesenteric fat wrapping is associated with 100% of resections and only occurs in Crohn's. For background in fat wrapping, see: http://www.practicalgastro.com/pdf/June06/ArsenescuArticle.pdf
The next bit is based on a couple of assumptions, but nothing too radical. Research on obesity describes similar visceral fat and notes that it uses twice the glucose that regular subcutaneous fat uses. It further describes a similar inflammatory response from visceral fat which is associated with the general inflammation that causes type II diabetes. Finally, it notes that the higher glucose requirement of visceral fat causes it to be reduced preferentially when weight is lost on a low glycemic index diet - a diet that reduces blood sugar levels. The article stated that a loss of 5 - 10% of body weight is enough to substantially reduce visceral fat and the inflammation that comes with it. The SCD is, by coincidence, a diet that avoids sugars and sources of blood sugar rise to an extreme. For the article on obesity and visceral fat, see: http://www.biomedcentral.com/content/pdf/1743-7075-1-12.pdf
The interesting bits are on page 14, but there is a lot of other information on the fat/inflammation connection before that.