Not unlike another Batman villain, Wrath has been known as an "Anti-Batman". Mainly because he uses a lot of similar techniques when fighting his foe...the cops. His parents were killed by Jim Gordon in self-defense, but to Wrath, it didn't matter. He slowly worked up an empire to try and take down all the cops of Gotham city. Even making the equipment they were to use in fighting crime...and use it against them.
Wrath's lethal tactics made him an obvious villain for Batman to take down. In their first meeting, the fight actually resulted in Wrath's death, whereas the second (via a new Wrath) just led to his arrest via Gordon.