Place one chicken breast in a resealable plastic bag or between two pieces of plastic wrap. Using a mallet or rolling pin pound each out to about ¼ inch thick.
In a zip lock bag combine tequila, Chipotle peppers, garlic, lime juice, cilantro, and salt. Add chicken and marinate for 2 hours.
Heat grill on medium-high heat, grill chicken 3-4 minutes on each side. Add cheese and let melt.
In a small bowl combine mayonnaise and Chipotle peppers and mix well