Use a food processor or emulsion blender to mix all of this together. Zest all of the limes for lovely lime goodness, then cut them in half and juice them directly into the processor. Add the rest of the ingredients and mix in the processor until all the ingredients are mixed uniformly.
Marinade the chicken legs for up to 4 hours. If you don't have time to marinate that long, you will still have good flavor in the chicken.
Grill the chicken on a medium/high grill, about 350 degrees, approximately 7-8 minutes each side, or until an internal temp of 170 degrees has been reached (use a meat thermometer, don't try to guess!)