Preheat the oven to 350°. Place the chicken breast on a sheet pan, and sprinkle with the spices, plus a pinch of kosher salt, on both sides. Place on a sheet pan and drizzle with 1 tablespoon olive oil. Bake for 50 minutes.
Remove skin and bones, and chop chicken into bite sized pieces. Put them in a bowl and add pan drippings.
While the chicken bakes, heat the other tablespoon of oil in a skillet and fry the pepper, onion and garlic until tender. Add the lime juice and season the vegetables with kosher salt and pepper.
Mix the chicken with the cheese. Divide the chicken and cheese between 4 tortillas. Top with 4 more tortillas, and fry each one in butter, on medium heat, until they're browned and the cheese has melted.
Top with chimichurri, salsa, and sour cream and serve.