I love to make chicken quesadillas: But i do it the easy way.

Buy a bbq chook, shredd it. heat up a frypan (use some cooking spray). throw one tortilla in, add the chicken, some chopt red onions, chopt capsicum, sometimes refried beans then sprinkle grated cheese. cook it for a min or so (when cheese melts), top with another tortilla, then flip it slowely and cook on other side. Pop onto a plate, cut into quarters, add guacamole/sour cream. my fav. may make these for tea tom. night.
We made our quesadillas simular to that, but DF likes the the beef ones better. Can do the beef in the slow cooker or pressure cooker i usually use some cuts of meat like chuck steak or eye fillets then just shred once its cooked.
I put frijoles mixed with salsa and cheese on the bottom of a flour tortilla then which ever meat another tortilla on top, cook on both sides and serve up. I make up a sauce which is just salsa and sour cream mixed together to dip it in yummo!