Preheat broiler to high.
Place poblano chiles on a foil-lined baking sheet. Broil 7 minutes on each side or until blackened and charred. Place in a paper bag; fold to close tightly. Let stand 15 minutes. Peel chiles; cut in half lengthwise. Discard seeds and membranes; coarsely chop. Set aside. [Alternatively, you can just dice the poblano chiles and throw them into the pot with the onions & jalapeño if you don't feel like roasting them!]
Heat a Dutch oven over medium heat. Add oil to pan; swirl to coat. Add onion and jalapeño; sauté 5 minutes or until tender, stirring occasionally.
Meanwhile, place the tomatillos in a food processor, and process until smooth. Set aside.
Add garlic and cumin; sauté 1 minute, stirring constantly. Add tomatillos, broth, and next 4 ingredients (through kale); bring to a boil. Cover, reduce heat, and simmer for 10 minutes or until vegetables are tender. Add roasted poblanos and hominy; cook for 2 minutes or until heated through.
Ladle into each of 4 shallow bowls; top evenly with sour cream/Greek yogurt and/or cheese. Sprinkle with cilantro.