Cut out the backbone from the chicken with sheers or a sharp knife. Press down hard on the breast bone to break it so the chicken will lay nice and flat. Next, cut down the back bone to get 2 equal halves.
Coat the chicken pieces with olive oil and season them with Dad's All Purpose rub.
Heat up the grill to 375 degrees and set it for indirect heat.
Place the seasoned wings directly on the grates and let them cook for 45 minutes or until the internal temperature reaches 165 degrees.
Take the grilled chicken halves off the grill and let them rest by covering them with a sheet of foil.