Place steaks in utility dish and sprinkle with half the lime juice. Turn steaks over and sprinkle with the remaining juice. Wrap tortillas securely in heavy-duty aluminum foil. Place steaks on grid over medium coals.
Grill steaks 7 to 9 minutes for rare (140~F) to medium (160~F), truning once. Place tortilla packet on outer edge of grid and heat 5 minutes, turning once. Top each steak with an equal amount of the cheeses. Serve with salsa and the tortillas.