Arrange the chicken halves, end to end on the grate, directly under the broiler. Broil for about 15 minutes, basting with the excess marinade every 5 minutes. Re-arrange the halves after the first 10 minutes. Turn the halves over and broil for another 15-20 minutes, basting and re-arranging as before. Turn the chicken halves for the final time. Season with salt and pepper. Layer slices of Kefalotiri cheese over both halves. Broil until bubbly. Remove from the oven, and allow to rest for 8 minutes.