In a small bowl, combine cracker crumbs and sugar; stir in butter. Press onto the bottom and 1 inches up the sides of a greased 10-inch springform pan.
In a large bowl, beat the cream cheese, sugar, flour and vanilla until well blended. Add eggs and yolks; beat on low speed just until combined. Stir in white chocolate. Pour over crust. Place pan on a baking sheet.
Bake at 350° for 45-50 minutes or until center is just set. Cool on a wire rack for 10 minutes. Carefully run a knife around edge of pan to loosen; cool 1 hour longer. Refrigerate overnight.
For sauce, in a large saucepan, combine the sugar, cornstarch and water until smooth. Add strawberries. Bring to a boil; cook and stir until thickened. Remove from the heat; stir in a few drops of food coloring if desired. Cool.
Spread strawberry sauce over top of cheesecake; drizzle with melted white chocolate. Refrigerate leftovers.