I would say do it! I really thought we'd never be able to do it because it was closing so I didn't want to miss my chance again.
But I looked at the menu and the appetizer/entree seems gluten free aside from the bread pudding beignet. Disney always seems to have choices for those with allergies so if any of the components do have gluten I'm betting they can leave those out. I'm not familiar with all the items on the menu but it seems like a shrimp and sausage appetizer, beef entree, and some rice/salad type thing for vegetarians, and pork wings. I'm more concerned I won't like it because I'm picky (but I think the dessert and experience alone are worth it

). They also have drinks and for dessert they bring some prepackaged things (and I think some things like at other dessert parties which were brownies, fruit, and prepackaged things), along with 2 special desserts that I think were cake like. (At least the reviews I read said that).
I'm no so sure about dairy free the desserts might be different/all prepackaged but I don't think the main meal would be that different aside from leaving somethings off because its mostly meat and veggies.