1. Char peppers in broiler or over open flame, turning until skins blacken;place in plastic bag and steam 10 minutes.
2. Remove skin and seeds;rinse and pat dry.
3. Cut into fisilli-sized strips.
4. Cook pasta in large pot of rapidly boiling salted water until firm but still tender to bite.
5. Drain, rinse under cold water and drain;sprinkle with salt and pepper.
6. Blend vinegar, mustard,salt and pepper in bowl.
7. Whisk in oil in thin stream.
8. Add in peppers, fusilli,shrimp and basil;toss well.
9. Can be made ahead to this point. Cover and refrigerate up to 2 days.
10. Let stand at room temperature 2 hours before serving.