I think you are VASTLY underestimating the amount of pigs cows and chicken.
The domesticated chicken is, for example, by far the most common bird with a population about 15 times larger than the second.
Humans make up between 30-40% of land mammal biomass, wild animals around 4% and domesticated animals make up the rest.
We have altered the ecological balance to an insane extent. Animal husbandry use almost 80% of arable land.
The wild animals are also a part of a circular ecosystem. They are, in contrast to domesticated animals, carbon neutral in most cases.
I am writing this on a slow GPRS connection, so I can't provide you with sources, but they are readily available. Both papers and news coverage. I managed to get into this page, but that is all: https://ourworldindata.org/wild-mammals-birds-biomass