Drain the kidney beans in a strainer, rinse with cool water and place in a bowl. Drain the corn in a strainer.
Cut the bell pepper lengthwise in half, and cut out seeds and membrane. Chop enough of the bell pepper to measure 1/4 cup. Wrap and refrigerate any remaining bell pepper.
Mix the beans, corn, bell pepper, salsa and cilantro.
Place the tortillas on a clean counter or on waxed paper. Spread about 1/2 cup of the bean mixture over each tortilla to within 1 inch of the edge. Sprinkle 2 tablespoons cheese over each tortilla.
Fold opposite sides of each tortilla up toward the center about 1 inch over the filling--the sides will not meet in the center. Roll up tortilla, beginning at one of the open ends. Place wraps, seam sides down, in the microwavable dish.
Microwave uncovered on High 1 minute. Rotate dish 1/4 turn. Microwave 1 minute to 1 minute 30 seconds longer.