Hey, Alicia? I have no problem with you. Or with PETA, however fashionable it may be to hate them. (I have actually worked there, so that gives me a bit of an idea of when to call bullshit on certain allegations) But, really, what's with getting people's hopes up? I'm very glad for you that your dogs no longer fart since being on a vegetarian diet. Sadly, and I say this as someone who has spent long hours in a car with a vegetarian dog, this is not true for every canine in existence.
Having said that, if done properly, a vegetarian diet is probably healthier for dogs than a lot of the tinned reject organ crap you can get. And it does make a dog's poo marginally less vile.