Preheat the oven to 450° and place rinsed and dried Hatch chiles on a baking sheet.
Bake for 10 minutes, flip over, and bake for an additional 10 minutes.
Remove chiles from the oven and, using tongs, place chiles in a gallon size baggie.
Seal and let steam for 10-15 minutes.
Remove stem, and peel off the blistered and charred skin.
Chop chiles, set aside.
Steak
Melt butter in a large cast iron skillet or a large frying pan.
Add steak and sprinkle with all of the seasonings. Stir.
Cook until desired doneness is obtained.
Wipe the frying pan clean, melt a little butter, place a tortilla in the pan, Add both types of shredded cheese over the tortilla. Place steak and hatch chiles one half of the tortilla.
Fold in half, flip over and cook the other side until the cheese is melty. Repeat with the remaining ingredients.
Remove each quesadilla from the pan, cut each quesadilla into three pieces, and enjoy with salsa, or your favorite dipping sauce.