Lightly spoon flour into dry measuring cups; level with a knife. Combine flour and next 8 ingredients (through allspice), stirring with a whisk.
Place molasses, butter, and sugar in a large bowl; beat with a mixer at high speed for 2 minutes. Add flour mixture; beat just until blended (dough will be crumbly). Divide dough into 4 equal portions.
Place each portion on a sheet of wax paper; cover with plastic wrap. Roll each portion to a 1/8-inch thickness (Roll the dough as thin as possible to achieve a properly light, crisp texture). Freeze 10 minutes; remove plastic wrap. Cut with a 2 1/2-inch round cutter. Place cookies on baking sheets coated with cooking spray.
Bake at 350F for 6 minutes or until edges of cookies are browned. Cool 5 minutes on baking sheets. Remove from baking sheets; cool completely on wire racks. Repeat procedure with remaining dough.