In the end, 2009 comes out on top against a loaded 1984 squad. Here are the poll results and simulation of each match-up 20 times thanks to our friends SCACC Hoops' GameSim.
#1 2009 58% #2 1984 42%
GameSim Results
UNC (2009) has won 12 times (60.0%), won by > 20 pts 3 times (15.0%)
UNC (1984) has won 8 times (40.0%), won by > 20 pts 1 times (5.0%)
The average score is UNC (2009): 79.5 - UNC (1984): 76.2, decided by < 5 pts 7 times (35.0%)
The game has gone into overtime 1 times (5.0%)
The poll results and simulations come out remarkably close to one another. In the poll 2009 took 58% of the vote and in the simulation it was 2009 with 12 wins or 60% of the games. 2009 took the average score by a scant 3.3 points and had three 20+ wins versus 1984's one.
Thanks to everyone who voted in the polls and took this little ride through the doldrums of summer.