Bring mirin, wine, garlic, chile paste, and ginger to a boil in a saucepan. Add miso and stir to combine. Stir in sugar; cook until dissolved. Pour marinade into a large glass dish to cool. Add pork tenderloins and turn to coat. Cover and refrigerate 4 hours to overnight.
Preheat the oven to 400 degrees F (200 degrees C). Place pork on a wire rack set over a sheet pan.
Bake in the preheated oven until an instant-read thermometer inserted into the center reads 150 degrees F (65 degrees C), about 25 minutes. Remove and loosely cover for 10 minutes.
Combine cantaloupe, cabbage, shallots, cucumber, and cilantro in a bowl for the slaw. Puree serrano chile, olive oil, and honey together in a blender for the dressing.
Toss slaw with the dressing and mound onto the center of each plate. Slice the pork and arrange around the slaw.
