that... is messed up. cows don't have an overpopulation problem in spite of humans, they have it *because* of humans. And milking cows doesn't really prevent infections. It does, however, take away a baby's natural food source.
we don't claim we're saving "living things", we're saving "conscious things" specifically. and if everyone were vegan, there would be lots of food left over for animals that currently don't have enough, since farming plants uses much less land than farming animals.