You might also be interested in the information here:
http://jccglutenfree.googlepages.com/multiplesclerosis

Celiac Disease and MS have overlapping symptoms... and there is at least some speculation that they may even be the same disease process... with "MS" presenting with the neurological symptoms commonly associated with celiac disease... gluten ataxia, peripheral neuropathy, seizures, neuromuscular symptoms.
http://jccglutenfree.googlepages.com...ationsofgluten

The people at MS-Direct promote a gluten free, casein free, legume free diet for the treatment of MS patients, and many have seen remission. It is also known that 50% of those with celiac disease do have cow's milk sensitivity, so you might want to consider removing cow's milk, I have known people with MS and Celiac dx who say the MS has not improved on a gluten free diet, but I always wonder if removing milk and soy would make a difference. I have also known people whose MS symptoms have essentially vanished with dietary changes.

You might also want to read about zonulin... that may be front and center in the development of celiac disease, as well as other autoimmune diseases, such as T1DM, MS, and RA.
http://jccglutenfree.googlepages.com/zonulin

And, of course, Vitamin D deficiency is getting more and more attention as a causitive factor for all autoimmune disease.

The point is, I guess, is that celiac disease and MS may be more directly related than you suspect.

I hope your digestive problems improve soon.... For a bit, you may want to cut back to the very basics of food, whole foods, such as plain meats, vegetables and fruits... and leave all grains, milk products, and processed foods out for a few weeks. If you improve on a simple diet, then you might try cautiously adding other foods back, one at a time. Many people with celiac disease need to cut back to a very basic diet, at least initially.