In a 4-quart Dutch oven, combine salsa, hominy, beans, chicken broth, chicken, chile peppers, chili powder, garlic and red pepper. Bring to boiling; reduce heat. Simmer, covered, for 20 minutes.
Just before serving, stir in cilantro and lime juice. If you like, top each serving with sour cream, red onion, cheese and/or avocado.