I don't think it's OK to skin pet rabbits alive. As soon as a human is in a relationship with a rabbit, or a pigeon (pigeons are lovely), the animal acquires rights, in my worldview, and I want to emphasize that point lest people think I'm a cunt. I mean they're going to think I'm a cunt anyway but I want to perform whatever damage limitation I can. The same applies to your beloved plushie too though (mine is Iron Man), it's all about the human really.