In a large Dutch oven, heat over medium-high and add the ground beef and chopped onions. Cook for about 5 minutes, breaking up the meat as it browns.
Add the chopped poblano peppers, chili powder, chipotle chile powder, garlic powder, smoked paprika, and ground cumin. Stir and let cook for 5 minutes until fragrant.
Pour in the crushed fire-roasted tomatoes, tomato paste, diced green chilies, Gochujang chili paste, and butter. Add 2 cups of broth and tamari sauce. Stir to combine everything thoroughly, then reduce heat to low. Partially cover and let it simmer for 1-2 hours, stirring occasionally.
About 5 minutes before serving, stir in the cream cheese, shredded cheddar cheese, and the drained chili beans. Let the cheese melt thoroughly, creating a creamy consistency.
Ladle into bowls and serve with your favorite toppings like Greek yogurt, fresh cilantro, diced avocado, and sliced green onions. Enjoy!