Cook French fries according to package instructions.

While fries are cooking, assemble, and grill the sandwiches.

Heat griddle over medium-high heat. Assemble sandwiches by placing 2 slices Colby jack and 1 slice Havarti on each sandwich. Spread butter on outside slices of bread and transfer to the griddle. Cook 4 to 6 minutes on each side or until bread is golden brown and cheese is warm and melted. Serve immediately.

Remove fries from oven and toss with seasoning before serving.