Another way to look at it is they're protecting native species from over-collection (illegal poaching!).
As human populations expand (along with the negative "side effects" such as pollution & pets running loose that kill wildlife) & the natural habitat for wildlife disappears, most of us want to make sure that our native species are not decimated by human greed or general thoughtlessness. This registry is just a way to establish one's long-term pets, so they're not confused with illegally-taken animals. Personally, I applaud their conservation efforts.