If strawberries are small, cut in half; if large, cut in quarters.
Combine sugar, red wine, and cinnamon stick in a large skillet; cook over medium-high heat until sugar dissolves, about 3 minutes.
Add strawberries and pepper; cook until berries soften slightly, 4 to 5 minutes. Remove from heat, discard cinnamon stick, and divide berries and sauce among dishes; serve with vanilla ice cream and a sprig of mint, if desired.