Preheat oven to 350 °F (180 °C).
Trim excess fat from bacon. Wrap one bacon strip in spiral around each breadstick. Arrange them on a cookie sheet. This can be done 3 to 4 hours ahead and kept covered in the refrigerator.
Combine sugar with chili powder. Roll each breadstick on sugar mixture. Arrange breadsticks on a cookie sheet, leaving 1 inch apart. Bake breadsticks 20 minutes, or until bacon is golden and caramelized.
Remove breadsticks with a metal spatula carefully and cool. Bacon will become crisp and breadsticks will harden as they cool.
Serve breadsticks at room temperature.