Position a rack about 4 inches from the broiler heat source, and preheat. Line a baking sheet with foil.
Spread some butter on 1 side of each slice of bread. Place 4 pieces, buttered side down, on the prepared baking sheet. Spread some of the Russian dressing on the sides facing up. Top each with a slice of cheese and evenly crumble some of the stuffing over the cheese. Top each with some sauerkraut, turkey and then the remaining cheese on top.
Put the open-faced sandwiches under the broiler and cook until the cheese melts, about 2 minutes. Remove the baking sheet from the broiler. Spread the rest of the dressing on the uncovered side of the 4 remaining bread slices, place on top melted cheese and push down, buttered side up to finish the sandwiches. Return to the broiler and toast sandwich, carefully turning once so both sides get nice and golden brown, about 2 minutes total, serve hot.
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