Coarsely chop salami; set aside. Lightly coat one side of one tortilla with water. Place tortilla, moistened side down, on heated griddle.
Spread 1/4 cup salsa on tortilla; sprinkle with 1 tablespoon of each of the optional ingredients as desired. Add 1/4 of the salami and 1/4 cup Monterey Jack cheese. Cover with another tortilla; brush top lightly with water. Press tortilla lightly to seal.
Cook on griddle until bottom tortilla is slightly browned. Turn quesadilla and brown on second side. Remove from griddle. Allow to cool slightly before cutting each into 8 wedges. Repeat with remaining ingredients.