This is a touchy subject for many people. Although the interviewer wants your opinion, and you should be honest, remember to be tactful and respectful, regardless of your personal thoughts.
"I know that people have different opinions about this. While I understand the argument for both sides, I am not sure if I feel one way or the other completely. I do feel that if someone is going to breed animals, they should be well educated on the breed, have a strong relationship with a veterinarian and a good record of care for their animals. I also have a very soft heart for rescues. I honestly believe that this is something that is a personal choice, but one that should be considered carefully."
"I have to admit, I have not had a lot of experience with people who are breeders. I have, on the other hand, spent a bit of time working in shelters and rescues and am passionate about helping to rehome animals in need. Having said that, I feel like the decision to breed is something that an individual family needs to make."