Wash and pat dry lettuce leaves, then tear into pieces. Place on a platter and arrange the tomatoes on top and around the edges. To make the dressing: Place the cheese, oregano, chives, lime juice and olive oil in a blender or food processor and blend until smooth. Drizzle the dressing over the greens and tomatoes. Top with chile strips.
Whisk together the egg and water in a medium bowl. Coat the chile strips in the egg mixture, then set aside. Place the cornmeal in a bowl next to the chile strips. Heat the oil in a large heavy skillet until hot. Coat half the chile strips with cornmeal and add to the oil. Fry over medium heat until golden, about 2 minutes. Drain on paper towels. Fry the other half of the strips and drain.