<<If people ate mostly rabbits, the industry would have a hard time slaughtering enough to meet the meat demand. Pigs are also big meat providers, as are turkey. Chicken, being small, seems to be the exception.>>
If you've seen how those chickens are treated, then you'll never eat chicken again.
While alive, they're impaled on iron hooks, their head is ripped off, their feathers are removed and then they're further processed (removing the guts etc.) which is just too bloody to tell here.
Seeing how a cow/pig is killed is almost fun compared to seeing the above.
Killing and slaughtering a cow goes more like this:
The cow/pig is killed either by an electrical current or a bullet through the head. Their head is chopped off and they're hung upside down to let the blood out of the body before it coagulates. Then the carcasses are divided in a left and right piece after the guts have been removed. Further processing follows after this.
Seeing how efficient those processes are, there aren't much animals we couldn't use for meat. Only animals that are much smaller than chicken wouldn't be profitable.