It's a slippery-slope case though, in fairness, because if you grant those rights to performing animals, then it leads the way to legislation over working animals, including food-producing ones.
As I've said before, the flaw in PETA's plan to stop everyone eating meat is that, in order to grow that much vegetable crop, you'd have to slaughter tens of millions of now-useless grazing animals for the space (and because you'd still have to pay to feed them). Whilst most animals produce secondary goods such as Milk or Eggs, for the main part what they would achieve is the near genocide of most farmland animals.
PETA have done some good stuff in the past, revealing some horrendous behaviour towards animals, however, they need to be realistic about things, there's nothing whatsoever wrong about drawing attention, and I'm pretty sure they don't expect to win, but they should be prepared for some unexpected results if by some chance they do.