1. Preheat oven to 300°.
2. Combine oats and pecans in a small bowl. Combine egg white and 1/8 teaspoon vanilla in a medium bowl; beat egg mixture with a mixer at medium speed until foamy. Fold oat mixture into egg white mixture. Combine brown sugar, 1/4 teaspoon cinnamon, 1/8 teaspoon salt, and nutmeg; fold the sugar mixture into oat mixture. Fold in maple syrup.
3. Spread granola evenly on a foil-lined baking sheet coated with cooking spray. Bake at 300° for 25 minutes, stirring once. Remove granola from oven; stir to loosen granola from foil. Cool on a wire rack.
4. Increase the oven temperature to 350°.
5. Combine 2 teaspoons honey and remaining 1 teaspoon vanilla in a large bowl, and add figs, stirring gently to coat the fruit. Arrange the figs, cut sides up, in a single layer on a foil-lined baking sheet. Sprinkle figs evenly with the remaining 1/8 teaspoon ground cinnamon and remaining 1/8 teaspoon salt.
6. Bake at 350° for 10 minutes or until the fig juices begin to bubble. Remove from oven, and cool completely. Combine the remaining 2 tablespoons honey and yogurt in a small bowl. Spoon 1/2 cup yogurt mixture into each of 6 bowls; top each serving with about 2 1/2 tablespoons granola and 6 fig quarters.