In a large saucepan, combine the remaining milk with the heavy cream, sugar, and corn syrup. Bring the milk mixture to a boil and cook over moderate heat until the sugar dissolves, about 4 minutes. Off the heat, gradually whisk in the cornstarch mixture. Return to a boil and cook over moderately high heat until the mixture is slightly thickened, about 1 minute.
Gradually whisk the hot milk mixture into the cream cheese until smooth. Whisk in the pistachios, almond extract, and salt. Set the bowl in the ice water bath and let stand, stirring occasionally, until cold, about 20 minutes.
Strain the ice cream base into an ice cream maker, pressing the pistachios with the back of a spoon to extract all the flavor, and freeze according to the manufacturer's instructions. Pack the ice cream into a plastic container.