Baker received a game high 17 points from newcomer Connor McDaniel, as the junior played in his first game in a Wildcat win, he also had seven rebounds.
Junior EJ Carter added 16 points on 6-of-9 shooting and had a double-double with his 10 rebounds.
The Wildcats featured a starting lineup of Carter, McDaniel, Jared Fulks, Todd Johnston and Jauan Wilson in its season opener.
The Hastings defense caused 21 Baker turnovers and led 51-33 at the break and the Wildcats fought back to outscore the Broncos, 44-38 in the second half.
Wilson had nine points with three assists and two rebounds. Baker hit six three-point field goals, as did Hastings.
Baker will hit the road for its next game as they take on University of St. Mary on Friday, Nov. 8 in Peru, Neb., in the HAAC/KCAC Classic at 5:30 p.m.