Every member of the New Mexico starting lineup reached double figures while keeping the Lobos in front in the Mountain West Conference race.
Bairstow, Alex Kirk and Tony Snell all scored 14 points while Hugh Greenwood had 13 and Kendall Williams 11.
New Mexico (20-3, 7-1 MWC) built a 13-point halftime lead, saw it cut to six early in the second half and then pulled away down the stretch.
Mike Fitzgerald and Michael Lyons both scored 16 points for Air Force (14-7, 5-3).
NBC reportedly holds celebs hostage to Jimmy Fallon's show
Ray Liotta sues skin care company over use of likeness