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 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.