Preheat oven to 350°F. Mix turkey, cheese, tomato, green onions, crushed red pepper, allspice and thyme in large bowl until well blended.
Place 4 of the tortillas on ungreased baking sheet. Spread 1/4 of the turkey mixture evenly on each tortilla. Top with remaining tortillas. Lightly brush with oil. Sprinkle with paprika, if desired.
Bake 5 to 10 minutes or just until cheese is melted. Cut into 3-inch wedges. Serve warm.