This take right here on Jon Snow is one of my biggest gripes, and it's due to how the show portrays Jon Snow. He is not a dope in the books at all. Yes, he does have honor, but he also makes good decisions, whether tactical or strategic. In the show, it's all about luck and failing/falling upward. In the books, it's about moving upward without because he's the right person, due to his ability and integrity (not his desire to). The show makes many choices of it's own, whether before or after they ran out of book material (some are of no major issue; many for no real reason, or just to simplify the story).
My take, either there is no 'Iron Throne', or someone along the line of Tyrion, Edmure, Gendry, or even Sam rule in a new capacity. If Jon survives, he returns north; either to Winterfell or north of the wall.