Position broiler rack 6 inches from heat source and preheat broiler. Line a large baking sheet with aluminum foil.
Mix sugar and spices in a small bowl. Dip figs one at a time, cut side down, in a sugar and spice mixture to coat. Then dip the figs a second time in sugar and spice mixture. Put dipped figs on a baking sheet cut side up, and distribute evenly so the figs are not touching. Put the figs in the oven. Broil figs, watching closely, for about 4 minutes, or until sugar melts and begins to caramelize and figs soften slightly and begin to ooze their juice.
Divide roasted figs among 4 bowls. Spoon 1/3 cup of Breyers® Natural Vanilla Ice Cream into each bowl and sprinkle with hazelnuts.