In a shallow bowl, combine 1/4 cup of each of the lime juice, olive oil, and jalapeno slices. Add a dash of tequila and chicken breasts. Marinate for at least half an hour.
In a medium bowl, combine orange and grapefruit sections, green onions, tomatoes, remaining 1 tablespoon lime juice and 1 tablespoon olive oil, orange and lime zests, salt and pepper, diced jalapeno, cilantro, tomatillos, and remaining tequila. Set aside.
Remove chicken from marinade. Season with salt and pepper. Cook on a hot grill for about 5 minutes on each side, or until cooked through. Remove from grill and let stand 5 minutes.
Divide greens among four plates. Slice chicken and arrange on top of greens. Spoon salsa over each salsa and serve immediately.