Preheat an indoor or outdoor grill.
In a large mixing bowl, use your hands to combine the ground turkey, cilantro, parsley, onion, about three quarters of the chopped jalapeño, the tomato paste, lime juice, chili powder, cumin, hot sauce, grated cheese, salt and freshly ground black pepper. Pat the meat down gently in the bowl and use the side of your hand to divide it into four portions. Scoop out one portion and shape it into a patty, pressing the burger together more in the middle to allow it to expand during cooking.
Once you've shaped them all, toss the burgers onto the grill and cook until marked and cooked through, 5-6 minutes per side.