Frasier would get a cheeseburger, because wants to relate to the normal working man. But he would mess it up because he is out of touch, and would add something like crème fraiche on it. Niles knows he is a rich snob, so he would have popcorn with fois gras topping, and tabasco sauce, like in the episode where they put tabasco on popcorn. Kurt, Freddy, Joey, and Christopher would not get any food, they just want to leave and watch Scarface, their favorite movie. Martin Crane would make the burgers to show the boys how to do it, because they would want to order out from a fancy restaurant, but Martin thinks ordering out is "sissy stuff". Martin burns the burgers because he gets locked out on the balcony because he was chasing his dog Eddie and the door closed behind him (Eddie snatched a burger from the grill and tried to run off with it). And so then Daphne saves the day by going to get McDonalds for everyone. Then they would all finish it with some toss salads and scrambled eggs, just like from the theme song
Yes, that could happen, and I am actually thinking that they would all get burgers and drinks from the burger place. And what burgers and drinks would they all get from that burger place?