From a timing perspective, I find this sequence works best: start the pork, then do the tortillas, then stir the pork, then flip the tortillas, then turn the pork off, then remove the tortillas.
Cut one lime in half and, using a reamer, juice one half directly into the pork and one half directly into the sauce.
Basil and mint are two other fresh herbs that could be added or used in place of the cilantro.