The link below suggests you could make a case for pushing Gorillas to extinction because they contribute to malaria and Aids, the rejects the case as morally repugnant.
I agree. Also, I think theological considerations would lead to reject this idea. I don’t think God put us here to destroy his creation lightly. The same point applies to may environmental issues.
Marginal Revolution
via What does a utilitarian approach to animal rights suggest?.
Brucetheeconomist's Blog 