Pat the peppers dry with paper towels. Thinly slice. Tear the rosemary sprigs into shorter sprigs.
Cut the Cheddar into ½-inch cubes and thinly slice salami.
On a large flat board or platter, arrange the mozzarella as a base. Above that arrange ⅓ of peppers as a narrower, thinner layer. Above peppers, arrange the olives. Above olives, arrange another ⅓ of peppers. Above the peppers, arrange salami. Above salami, arrange remaining ⅓ of peppers. Above the peppers, arrange Cheddar.
Arrange some pieces of rosemary at top of “tree.” Stick any remaining rosemary in and around tree to create branches. Place short stack of crackers as tree stump at bottom. Serve with remaining crackers on the side.