In a medium mixing bowl, whisk together the sugar, milk, egg substitute and cream cheese until smooth. Stir in the cream and vanilla. Freeze in an ice cream machine as directed by the manufacturer, until almost frozen.
Stir together the jam and 1 tablespoon cold water until smooth. Just before the ice cream is finished, pour the jam through the hole in top of the machine. Allow the paddle to rotate about 4 times just to swirl the jam through the ice cream. Stop the machine. Remove the paddle and transfer the ice cream to the freezer until hard.
Makes 2 quarts