By now, the mixture should be well blended, but if not, whisk vigorously until it is. If you are NOT using arrowroot starch, remove the pot from heat. If you ARE using arrowroot starch, transfer a few tablespoons of the ice cream mixture to a small bowl. Add the arrowroot starch to the bowl and whisk to get out all of the lumps. Pour the mixture into the pot and gently simmer for 1 minute, whisking frequently. Remove the pot from heat.
In a Dutch oven or a big, heavy-bottomed pot, combine the coconut milk (don't worry if the coconut solids have separated from the liquid), honey, peanut butter, vanilla and salt. Bring the mixture to a simmer over medium-high heat, whisking often to prevent scorching.