It was BSU's 24th straight on the blue turf at Bronco Stadium.
Moore completed 22-of-32 for 299 yards, and three first-half scoring passes to Austin Pettis led to a 42-17 halftime lead.
Pettis finished with 123 yards on eight receptions.
Kyle Wilson scored on a 71-yard interception return.
Jeremy Avery gained 110 yards on 14 carries with and one touchdown, while Titus Young caught a touchdown pass and scored on a 100-yard, second-quarter kickoff return for the unbeaten Broncos (10-0, 5-0).
Idaho's Brian Reader committed six turnovers -- one fumble and five interceptions.
DeMaundray Woolridge gained 143 yards rushing with two touchdowns.
Reader passed for 305 yards with one touchdown, and Daniel Hardy caught four passes for 119 yards for the Vandals (7-4, 4-3), who have lost three of four.