If it's crap ... We'll tell you
I was thinking random thoughts about characters in fiction, when started to think Batman. One thing about him that everyone knows is that he doesn't kill, every the most dangerous criminals in Gotham, like the Joker. Every time villains like the Joker run a mock in Gotham, he always catches the villain brings to justice, where they're sent to either Arkham Asylum or Blackgate Penitentiary. As we all know they escape to continue the cycle over again, but what if the citizen and local government get tired of it and decide to end. Now here is the hypothetical scenario, Joker escape and goes on killing spree. Batman catches the Joker and brings him back to Arkham , but Gordan with GCPD , the mayor and an a executor are there waiting for Batman to bring Joker. After all of Joker's criminal actives and fail Rehabilitation affords, they decide to executed the Joker as soon as Batman bring him. Would Batman give up the Joker to them knowing they're going to kill him or stick to his principals of not killing and not give him up (even if he not directly doing the kill)?
Typical superhero response is no: Superheroes preserve life at all costs.
However, the scenerio would be a terribly written one if done. I bet you dollars to donuts tons of fans would cry 'BULLSHIT' if they put that in a comic as canon. I know you're fishing for comments here, but a more interesting story would be if the death penalty was re-introduced to Gotham's state retroactively, making even criminally insane villains subject to it.
Thus, ANY villain that murders in cold blood can be executed...and the first one to be so convicted is the Joker. How would Batman deal with that? How would he feel now knowing that the criminals he captures are now likely to be killed once jailed?
The American justice system doesn't work like this so right there's a huge flaw. People are admitted to psychiatric facilities based on not being mentally distinguish right from wrong or be held accountable for their actions due to disabilities. Criminally insane murders rarely ever face the death penalty because of this. Gordon breaking such a cut and dry law is both out of character and ballsy as hell since he'll be put away and his family disgraced for it.
In this situation one would assume he'd spend the issue or graphic novel or whatever trying to convince Gordon that this way is wrong and if that fails turning him in to the FBI since The Joker is a world wide villain at this point.