In a large bowl, cream butter and sugar until light and fluffy. Beat in the cottage cheese, egg and extracts. Combine the flour, baking soda and salt; gradually add to creamed mixture and mix well. Stir in pineapple.
Drop by tablespoonfuls 2 in. apart onto greased baking sheets. Top each with a cherry half. Bake at 375° for 10-12 minutes or until lightly browned. Remove to wire racks to cool.