Akeem Richmond also scored 16 points.
The Pirates' 3-0 start is their first since the 2008-09 season, and Kemp has scored in double figures in all three games.
Miguel shot 7 of 12 from the field, including 3 of 5 from beyond the arc, and he made 7 of 8 free throws. Kemp was 8 of 10 on foul shots as the Pirates outscored the Spartans 21-10 from the free-throw line.
East Carolina trailed 62-59 with 8:06 left, but a dunk by Kemp and Richmond's 3-pointer put the Pirates ahead to stay.
Reggie Witherspoon, who spent more than 13 seasons coaching at Buffalo, is returning to the city to coach Canisius College.
North Carolina Hall of Fame men's basketball coach Roy Williams is recovering from knee-replacement surgery.
Sparkling facilities are one thing, but Tim Miles needs to regain the momentum of Nebraska's 2014 run to the NCAAs if it is to play with the big boys.