Combine the first 8 ingredients in a blender; process until smooth. Combine parsley mixture, cheese, and mayonnaise, stirring well.
Spread 1 tablespoon mayonnaise mixture over each bread slice; top each of 4 slices with 1/2 cup arugula and 1/2 cup Simply Roasted Pork. Arrange red bell peppers evenly over pork. Top each serving with remaining 4 bread slices. Cut sandwiches in half diagonally.