Kemp was 9-for-17 from the field and 12-for-13 on free throws, including four in a row after a foul and technical foul that gave Nevada a 50-47 lead midway through the second half that it didn't relinquish.
The Wolf Pack (27-3, 14-2 in the Western Athletic Conference) pushed their home record to 60-6 since the start of the 2003-04 season while claiming their fourth straight WAC regular-season title with four consecutive seasons of 25 or more victories.
Tyrone Nelson scored 15 points, Elijah Ingram 13 and Ted Knauber 12 for New Mexico State (22-8, 11-5 WAC), which trailed 21-15 early but closed the first half with an 11-4 run to take a 31-28 halftime lead before a sellout crowd of 11,462.
Nelson scored six points in a row, including a 19-footer to put the Aggies ahead 47-46 with 10:39 left in the game. But on the next possession, Shaun Davis fouled Kemp, was called for a technical when he complained and Kemp made all four free throws for the three-point lead with 10:17 left in the game.
Kemp then made a 3-pointer and Fazekas a pair of free throws for a 54-49 lead. Ingram answered with a 3 to pull New Mexico State to 54-52, and after Kyle Shiloh's basket off a behind-the-back dribble on a break, Nelson converted a 3-point play to get to 56-55 at 7:12.
Kemp was fouled on a 3-point attempt and made all three free throws to put Nevada ahead 59-55 with 6:56 left.
Ingram went the length of the floor for a layup to make it 64-61 at 1:20. Knauber made a basket and was fouled, but couldn't convert the free throw to leave it 65-63 with 28 seconds. Kemp and Fazekas each made a pair of free throws down the stretch to seal the win.