Brush 1 side of each tortilla with mustard.
Evenly divide ham, pickles, pork, and cheese on 4 tortillas. Top with remaining tortillas, pressing firmly.
With large metal spatula, place quesadillas on hot grill grate and cook 2-3 minutes or until tortillas on both sides are browned and Swiss cheese melts, carefully turning quesadillas over once.
Transfer quesadillas to large cutting board; let stand 1 minute.
Cut each quesadilla into 4 wedges to serve.