Spread mayonnaise evenly on top half of each roll. Spread mustard evenly on bottom half of each roll. Place 1 lettuce leaf on bottom of each roll; top with 2 half slices of smoked turkey. Layer Swiss cheese, onion, lettuce, turkey ham, and Cheddar cheese on lettuce, dividing evenly among rolls. Place top of roll on cheese.
Secure 1 pickle on top of each sandwich with a wooden pick.