Wow that looks awesome.
I was told a quesadilla tip a while back from a nice mexican lady. It is fool proof, even for guys like me who burn them every time doing it the other way.
Get a cast iron pan (essential) just a little bigger than the tortilla. Put about 2-3tbs of vegie oil in and coat the pan. Heat it until it is hot, but not screaming hot. Toss a tortilla in and flip it to coat it with the oil. Let it sit until it starts to bubble up (shouldnt be but a couple seconds in a hot pan). Time to fill. Cheese and warm or room temp cooked meat. Be sure to not get any outside the tortilla or it will be a smoke fest. Flip half of the tortilla over, throw a lid on the pan, and turn off the flame. In about 30 seconds you have a perfect quesadilla. Total time is about 45 seconds to a minute each. Just fast enough for one to cool enough to eat when the next one is ready… if it makes it that long.
I suggest you fill/serve it like moxie did, it looks DARN GOOD!!!