The Broncos took a 45-24 halftime lead by shooting 57 percent from the floor and making 7 of 16 3-pointers (39 percent).
Haney scored 14 points in the first half and Alston took over the scoring load in the second period, scoring 14 himself. Boise State pushed the lead to 30 on a 3-pointer by Alston and another Alston 3-pointer built a 33-point lead, 63-30 with 11:30 remaining.
Justinian Jessup added 11 points, six rebounds and seven assists for the Broncos (12-19, 7-11 Mountain West). Jessup made three 3-pointers and Alston had four. The Broncos made 12 of 31 from 3-point distance.
Lavelle Scottie led Air Force (13-17, 8-10) with 10 points.
College basketball picks: Does being (or beating) No. 1 matter?
ESPN.com's college hoops experts make their picks for this weekend, which includes an intriguing UNC-Virginia matchup.
No. 2 Kansas readies for visit from No. 20 Colorado
Scrubbing all combinations involving two big men in the Kansas basketball lineup would be almost disingenuous to coach Bill Self, because the strategy contradicts presumed roster strengths.
No. 25 Utah State back home, ready for Fresno State
No. 25-ranked Utah State heads home Saturday for its first Mountain West Conference game at Dee Glen Smith Spectrum, hosting Fresno State in Logan, Utah.