While going gluten-free won't necessarily "help" your MG, it WILL help your immune system function better - if gluten affects you in that manner. You may want to get tested for Celiac Disease first, but if you are on steroids, you may get a false negative result.

I was on a GF diet for 2 years BEFORE my MG diagnosis, so I can't really speak to if it will help or not; however, if you have OTHER problems which might be gluten-related, you will see a definite improvement in those. The change that I noticed after going GF was nothing short of miraculous....

It certainly won't hurt to try a GF diet for a month, just to see if you notice a change. The nice thing is that you don't really have to make any drastic changes - just remember that there is no such thing as "gluten lite" - it's all or nothing -

(Incidentally, I have to stay GF for life - I have the dermatological form of Celiac Disease, I carry the CD gene, AND I found out that I am allergic to wheat. I have had NO problem whatsoever staying GF - I feel terrible if I accidentally get hold of it now.....)