MIX mayo, oil, 1 tsp. lime zest, juice, hot sauce and red pepper until blended. Combine cabbage, mangos and onions in medium bowl. Add mayo mixture; mix lightly. Refrigerate until ready to serve.
COMBINE next 4 ingredients and remaining zest in shallow bowl. Dip each chicken breast in egg whites, then in crumb mixture, turning to evenly coat both sides of each breast.
MELT 2 Tbsp. butter in large skillet on medium heat. Add half the chicken; cook 4 to 5 min. on each side or until done (165°F). Repeat with remaining butter and chicken. Serve with slaw.