Bring first 4 ingredients and, if desired, rabbit to a boil in a large heavy stockpot. Cover, reduce heat, and simmer 1 hour or until tender. Remove meats, reserving liquid in stockpot; skin, bone, and shred meats, and return to pot.
Chop tomatoes and next 5 ingredients; shred cabbage. Add chopped vegetables, corn, and next 11 ingredients to meats; cook over low heat, stirring often, 4 hours.