Place a quarter of the Monterey Jack cheese on half of a flour tortilla.Top with 5 to 6 strips of red and jalapeno peppers. Place a quarter of the crumbled goat cheese on top of peppers, and fold tortilla in half. Press lightly to seal tortilla closed. Repeat process with remaining three tortillas, and set aside.
Place a folded tortilla in a medium saute pan over medium heat, or on a grill over indirect heat, and cook 1 to 2 minutes on each side, until cheese is melted. Repeat with remaining tortillas.