That's why all my food waste goes either to my chickens or, if it's unfit for them, to the compost. It causes me physical pain to put food waste in the trash, eg when on vacation or at someone else's house. I would actually like to take it even farther; once I have my own land, I plan to build a composting toilet so that the organic matter I consume doesn't go to waste in a septic tank or sewer. Talk about waste. All that fertility that's been extracted from our soils gets locked up in humanure, and instead of returning it to the ground, most of it is flushed out to sea where it causes harmful algal blooms and dead zones.
But to be fair, speaking as a former vegetarian, I never believed that it was morally wrong to eat animals. I just wasn't comfortable with it because I liked animals and was grossed out by the thought of eating them. Being a vegetarian doesn't necessarily mean you're making a statement about the morality of eating meat. I also felt - and still do - that if you're not comfortable with the idea of butchering an animal, or even seeing the animal you're going to eat while it's alive without having a lot of cognitive dissonance, then you probably shouldn't be eating it. Most people don't have that problem with plants. The hypocrisy comes when you start distancing yourself from the source of your food. I know people who eat a ton of meat but don't want to think about the fact that it came from some cute animal.
Personally, I now eat meat but focus more on only consuming animals that were either caught in the wild (mainly fish) or raised on a real farm on pasture and without antibiotics or hormones (either by me or from a local farm where we get all our purchased meat from). I generally don't get meat at restaurants, unless I have a good idea of where they're getting it from. I think what's more important than whether or not you eat meat, is how the animals you eat are treated while they're alive. The only meat I have a moral problem with is the kind that comes from CAFOs or anywhere else where animals are basically tortured and kept in deplorable concentration camp-like conditions. But again, that only happens because people are so disconnected from their food.