An old recipe adapted from Cooking Light. You can make the full batch in an 8 or 9-inch square pan or make half and use a smaller dish. The original recipe says it makes 12 servings, but 8 is probably more realistic.
In a large mixing bowl, beat both cheeses and the sugars until creamy. Beat in 2 tablespoons of the Kahlua. Set aside.
Mix the coffee and remaining Kahlua together in a long, shallow dish. Split ladyfingers in half (if using the soft ones) and quickly dip each half in coffee mixture. Place dipped side down over the bottom of the dish, overlapping. If using hard ladyfingers, just dip the whole ladyfinger in the mixture quickly and then lay across the dish.
Spread half the cream cheese mixture over the ladyfingers, then sprinkle on 1 teaspoon of cocoa powder. Repeat, adding another layer of dipped ladyfingers and another layer of cream cheese mixture plus cocoa powder.
Spread sweetened whipped cream over the top, then garnish with more cocoa powder. Cover and refrigerate for 2 hours or until ready to serve.