speaking as an ex vegan whose dietary choices led to multiple nutrient deficiencies that correspond with the poor nutrient status commonly seen in ms patients, I can offer this info..
you'd need to optimize the nutrients (and any other potential factors and synergistic effects that we don't know about yet) that are delivered in grass-fed meat, organ meat etc. such as iron, zinc, b12, protein - things you'd expect to be lower in vegetarians. some of these are nutrients that are depleted by gluten which, as I understand it, is not part of the wahls regimen. also by phytates, which you would have to be careful of with legumes.
depending on the nutrient density in your dietary choices you may be able to attain useful target levels (testing should definitely be done to assess this, and the 'normal' ranges of course will be misleading if not outright dangerous). otherwise you might want to consider a supplement regimen.
fyi king crab apparently has an approximately similar amount of zinc per serving as red meat. you may require more zinc-rich foods than are recommended in the wahls regimen, if you need to consume more foods with antinutrient components such as legumes.
interestingly, one diet/supplement protocol (klenner, 1971) which I found of particular use considering the available research when it was developed, is coincidentally dense in nutrients that are typically problematic for vegetarians (notably protein, b vitamins, zinc). related question.. how do you feel about eggs? they are a recommended protein source per klenner, on the order of 2-3 eggs for breakfast daily (as a therapeutic strategy, not necessarily long term maintenance)