In a bowl stir together cream, half-and-half, ¾ cup of POM syrup** and salt. Stir in food coloring to tint ice cream pink, if desired. Pour into can of ice cream maker.
Process ice cream according to manufacturers directions. Meanwhile, place a large bowl in the freezer. Transfer ice cream to the chilled bowl; stir in pistachios and reserved POM Wonderful Pomegranate Arils. Transfer ice cream to a freezer container, leaving ½" airspace at the top for expansion; cover tightly. Freeze at least 2–4 hours. At serving time, drizzle each serving with some of the remaining POM syrup.
*To prepare POM syrup, combine 1 cup of POM Wonderful 100% Pomegranate Juice and ¾ cup of sugar in a small saucepan; bring to a boil. Reduce heat and simmer about 20 minutes until reduced to ½ cup, stirring frequently.