In a bowl, combine 3 Tbsp of the olive oil, the 2 Tbsp of lime juice, cilantro, salt, pepper, crushed red pepper, and cayenne pepper.
Add chicken to bowl and marinade in fridge for 10-30 minutes.
Remove from marinade and Bbq til chicken is done.
Remove from Bbq and slice chicken thinly.
In a small aluminum pie plate, add peeled shrimp, a Tbsp of olive oil, and I like to put ½-1 tsp chili powder and mix around. I then place pie plate on bbq and cooked the shrimp for 3-5 minutes until done.
For the dressing in a large salad bowl, whisk together the remaining ½ cup olive oil, ¼ cup lime juice, lime peel, vinegar, chili powder, sugar, salt and pepper.
Add to bowl, chopped lettuce, carrots, cilantro, peanuts, chicken strips, and shrimp.Toss altogether.