In the bowl of a food processor, place peach halves, sugar, lemon juice and spices. Process until the peaches are completely smooth, scraping down the sides of the bowl as needed. Meanwhile, in a large bowl beat the heavy cream or pareve whip until stiff peaks form. Add the pureed peach mixture to the heavy cream and whisk together to blend completely. Immediately pour the mixture onto prepared crust, then top evenly with remaining crumbs and return to freezer. Freeze until completely firm, at least 6-8 hours or preferably overnight. When ready to serve, allow to stand at room temperature for about 5 minutes, then slice using a heavy knife.