Preheat oven to 350°.
Combine first 4 ingredients in a small bowl; beat with a mixer at medium speed until blended.
Lightly spoon the flour into dry measuring cups, and level with a knife. Combine flour and the next 4 ingredients (flour through soda) in a medium bowl, stirring with a whisk. Combine egg, egg yolk, and brown sugar in a medium bowl; stir with a whisk until well blended. Add pumpkin and oil; stir well with a whisk. Stir in dates. Add to flour mixture, stirring just until moist.
Spoon the batter into a 9 x 5-inch loaf pan coated with cooking spray. Spoon cream cheese mixture over batter; swirl batters together using the tip of a knife. Bake at 350° for 1 hour or until a wooden pick inserted in center comes out clean. Cool for 10 minutes in pan on a wire rack; remove from pan. Cool completely on wire rack.