Melt butter over medium heat and add onion, garlic, jalapeno, and spices. Saute until veggies are soft.
Add vegetables in a slow cooker with pork, green chilies, salsa and hominy. Add reserved juices from the carnitas and stock to cover. Cover slow cooker and set on Low for 7 hours or High for 3 1/2 hours. Add tabasco to your taste and serve with desired garnishes.
If you prefer to do this stovetop, saute veggies as directed and combine everything in a large heavy pot. Bring the soup to a boil, lower heat to a simmer and cover. Simmer for 2 hours until flavors are well combined.