Heat olive oil in a Dutch oven over medium heat. Add onion and next 4 ingredients (onion through chipotle); cook for 4 minutes, stirring frequently. Stir in tomato, garlic, hominy, and broth. Reduce heat, and simmer 20 minutes.
Trim fat from the pork. Cut pork into bite-size pieces. Add pork, spinach, and cilantro to pan. Cook for 7 minutes or until pork is done. Ladle 1 1/2 cups soup into each of 6 bowls; top each with 1/4 cup lettuce, 2 tablespoons radishes, 2 tablespoons cheese, and 2 teaspoons green onions.