Heat oil in a large pot over medium-high heat. Add ground turkey and chorizo; cook and stir until crumbly and beginning to brown, about 5 minutes. Stir in onion, celery, and jalapeno; continue to cook and stir until meat is browned and onion is translucent, about 5 minutes more.

Stir in cumin, coriander, and oregano followed by thyme and garlic. Add tomatoes, cannellini beans, tomatillos, and green chiles. Stir in soy sauce. Reduce heat and let simmer to combine flavors, 20 to 30 minutes. Add cilantro just before serving.