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Prepare the grill for two-zone cooking. Place lit coals on one half of the grill. If using a gas grill turn on only half of the burners. Make sure to brush the grates clean.
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Mix the rub ingredients together in a medium bowl.
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Butterfly the chicken breasts and then coat the chicken evenly in the rub. Let the chicken sit at room temperature for 20 minutes to let the rub set.
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Once the grill is preheated and the rub is set, place the chicken directly over the heat and grill until done. Roughly 7-8 minutes per side. You may need to turn them once or twice during cooking to get them to cook uniformly.
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During the last 4-5 minutes of cooking wrap the tortillas in foil and place them on the indirect side of the grill. Flip them half-way through.
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When the chicken is fully cooked and the juices run clear, remove from the grill and place on a cutting board. Remove the tortillas from the grill too. Don't want them to burn.
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Slice the chicken and serve over the warm tortillas. Serve with your favorite salsa, sour cream, guacamole and cheese.