Preheat the oven to 425° F. In a large pot set over medium-high heat, add the butter, onions, and chicken and cook until fragrant, 5 minutes. Stir in the garlic, poblano peppers, cumin, paprika, chili powder, and a pinch each of salt and pepper. Cook for 5 minutes, until fragrant. Stir in the broth. Partially cover and simmer over medium-low heat for 5-10 minutes until the chicken is cooked. Pull the chicken out and shred using 2 forks. To the pot, add the pasta and 2 cups water. Bring to a boil over medium-high heat. Simmer for 10 minutes until the pasta is al dente, stirring often. Stir in the cream cheese, shredded chicken, white beans, salsa verde, diced green chiles, and 1 cup cheese. Cook another few minutes until creamy. Remove from the heat and top with cheese. Bake for 5-10 minutes, until the cheese is melted.Divide the pasta and sauce among bowls and top with green onions and cilantro. Enjoy!