Eggnog Coffee Punch

1 quart coffee ice cream
1 quart vanilla ice cream
1 quart eggnog
2 cups hot brewed coffee
1/2 cup coffee liqueur or strong brewed coffee
1/2 cup bourbon (optional)
Frozen whipped topping, thawed
Nutmeg

Scoop ice cream into a punch bowl. Add eggnog, coffee, liqueur, and, if desired, bourbon, stirring until ice cream slightly melts. Serve in glass mugs. Dollop punch with whipped topping; sprinkle with nutmeg. Serve immediately.