There's a good documentary on Netflix called An Elephant in the Living Room about people owning exotic pets, their attachment to them, the culture, how they get them, the difficulties they present to authorities, etc.
IMO it is sort of a self-correcting problem since most attacks are of the animal against its owner. However when you have a habitat that is ripe for a non-native species to become invasive were pets to escape, eg. the feral boas the have run wild in Florida. That is a real problem.