Heat the olive oil in a large pot over medium heat. Stir in the onion and garlic; cook and stir for 3 minutes, then add the turkey, and stir until crumbly and no longer pink.
Add the butternut squash, chicken broth, green chilies, tomatoes, kidney beans, hominy, and tomato sauce; season with chili powder, cumin, and garlic salt. Bring to a simmer, then reduce heat to medium-low, cover, and simmer until the squash is tender, about 20 minutes.
