[Western Crossover] Can a World Where Everyone's Characterization Is Reversed Still Be Saved?

A newly born world consciousness decided to create some superheroes of its own, secretly borrowing a few scenes from the main universe. Iron Man is a billionaire, so he must be Bruce Wayne! Since Gotham has Two-Face, the Joker must be Batman! The richest man in Metropolis should also be a superhero, so Superman must be Lex Luthor!! After all its tinkering, the world consciousness used up all its energy and fell asleep, but the universe it had created kept running on its own... So you get to see Captain America with a white canister of Extremis, promising that if he becomes president, he'll distribute it to every American citizen. Lex is revered by everyone as Superman, while the Daily Planet, owned by Clark, publishes conspiracy theories about Superman every day. Gotham Mayor Grayson was elevated to his position by the billionaire Wayne, and everyone knows they're having an affair. The Joker commits crimes by day, then transforms into the crime-fighting Batman at night. Mayor Grayson controls the secret Court of Owls and also works with the underground power Father Todd. Tim opens a detective agency, and one day he suddenly receives a secret commission from the mayor. A huge sum of Wayne's money leads him to take a dangerous gamble: approach Batman and volunteer to become his assistant. The detective discovers everything he was never supposed to know. He absolutely can't let them succeed, so Tim has no choice but to take matters into his own hands. The Joker Batman offers up his Laughing Virus, and Clark needs more samples to successfully improve it. Tim's journey to another world is about to begin. Tim, with his plans all laid out, steps outside and immediately runs into Bruce Wayne... Theme: Effort matters more than choice.