I’ve also heard of another PETA: “People for Eating Tasty Animals”
I actually have no problem with vegetarianism. I even considered once for ethical reasons, and (consciously — this seems to surprise people) decided against it because I concluded those ethical reasons were not valid. But if other people disagree, I have no objection.
I do have a problem, however, with the notion that animals “have the same rights as people” — or in fact, any “rights” at all. Animals and people are not the same. This doesn’t mean I’m in favor of cruelty — I believe it is immoral to treat animals cruelly. But that’s because it’s immoral for people to do it, not because animals have any particular “rights.”