Toss together first 4 ingredients in a large bowl. Stir raisins into carrot mixture.
Tear cookie dough into pieces, and stir into carrot mixture until well combined.
Drop cookie dough mixture by tablespoonfuls, 2 inches apart, onto lightly greased baking sheets. (Dough should make 24 cookies.).
Bake at 350° for 15 to 18 minutes or until edges are crisp. Cool on baking sheets 5 minutes. Remove to wire racks, and cool 10 minutes or until completely cool.
Turn half of cookies over, bottom sides up. Spread each with 1 tablespoons chilled Cream Cheese Icing. Top with remaining cookies, bottom sides down, and press gently to spread filling to edges of cookies.
Note: For testing purposes only, we used Pillsbury Create 'n Bake Sugar refrigerated cookie dough.
Beat Cream cheese and butter at medium spped with an electric mixer until creamy.
Add remaining ingredients, beating until smooth. Cover and chilll 30 minutes or until spreading consistency.