In a bowl, combine cracker crumbs and butter; press onto bottom of a 9-inch springform pan and set aside. In a mixing bowl, beat cream cheese until smooth. Add yogurt, egg, egg yolk, and basil; beat on low speed until blended. Stir in Swiss cheese. Pour into prepared crust. Place pan on baking sheet and bake at 350ยบ for 40-50 minutes. Cool on wire rack for 10 minutes. Carefully run a knife around the edge of pan to loosen; cool 1 hour longer. Refrigerate overnight. Remove sides of pan and cut cake into wedges.
Yield: 16 servings.