batman cares about justice and the safety of Gotham what?
If he cares so much he'd train the guards to do their job so they can police the city better and just maybe upgrade the security with a larger guard roster in arkham asylum until its no longer a revolving door for super villains.
Thats one of the (many) things I liked about old man bataman in the dark knight returns. Good job batman, it only took you your entire career, but you finally decided that rehabilitating gangs of criminals onto the side of security and protection that they could help do your job for you. I don't know if it's actually canon though.