Roberto Luongo stopped all three Carolina skaters in the shootout after making 23 saves.
Amile Jefferson, playing in his final game at Cameron Indoor Stadium, added 14 points
Joel Berry II scored 12 points to lead the Tar Heels (25-6, 13-4), who snapped a four-game winning streak
Sirk sat out of the 2016 season after partially tearing his left Achilles tendon during fall practice.
The Hurricanes have lost six of seven to fall into last place in the Metropolitan Division.
Miami held No. 10 Duke a staggering 32 points below its season average.
The Wolfpack (15-15, 4-13) made a last-stand run to get within 59-51.
The Tar Heels (25-5, 13-3) have won four straight following a loss to arch rival Duke two weeks ago.
The Eagles are at the top of the MEAC standings and have a great chance of making the NCAA Tournament.
Jordan Staal, Elias Lindholm and Viktor Stalberg scored for the Hurricanes.