Combine first 8 ingredients in a food processor; process until smooth.
Heat oil in a large nonstick skillet over medium-high heat. Sprinkle steak evenly on both sides with pepper and salt. Add steak to pan; cook 4 minutes on each side or until desired degree of doneness. Remove steak from pan; let stand 5 minutes. Thinly slice steak.
Combine cabbage and the remaining ingredients in a large bowl. Drizzle slaw mixture with cilantro mixture; toss. Arrange 2 cups slaw mixture on each of 4 plates; top each serving with 3 ounces beef.