Combine Hellmann's® or Best Foods® Real Mayonnaise, cheese, basil, vinegar and garlic in small bowl; reserve 1/4 cup.
Thread sausage on skewers. Alternately thread red peppers and onion on separate skewers. Grill or broil sausage and vegetables, brushing vegetables with remaining mayonnaise mixture, until sausage is done and vegetables are tender.
Brush reserved mayonnaise mixture on both sides of rolls. Grill or broil rolls, turning once, until toasted. Arrange cooked sausage and vegetable skewers on grilled rolls; remove skewers.