Royce Pollard caught 10 passes for 216 yards and three touchdowns for Hawaii (3-2, 1-0). Moniz had passing scores of 27, 13, 9 and 6 yards.
Joey Iosefa rushed for 99 yards on 16 carries for Hawaii.
Hawaii trailed only in the first quarter, but was able to build a 21-point lead in the third quarter when Richard Torres returned an interception 49 yards for a touchdown. Tank Hopkins added another score when he returned a fumble 16 yards to give the Warriors a 41-13 lead.
The Bulldogs (1-4, 0-1) came no closer than 18 points.