Bozzella took the Gaels to the title game three times, but never won it.
The Gaels went 20-13 this season, losing in the first round of the WNIT.
With McCluskey and Tom Brewster also on target, the dominant Gaels led 1-7 to 0-1 at half-time.
BBC: SPORT | Northern Ireland | Gaelic Games | Enniskillen win Fermanagh title
Michael Alvarado had 14 points for Manhattan (14-18), which lost despite holding the Gaels 21 points below their average.
Joy Adams had 15 points and 11 rebounds to lead the Gaels (20-12).
Cox went on to be part of a superb Gaels defence with Michael Lilley particularly impressive for the winners.
BBC: SPORT | Northern Ireland | Gaelic Games | Enniskillen win Fermanagh title
Bozzella took the Gaels to three MAAC title games during his tenure but never won a championship in a league dominated by Marist.
Iona is hoping for some redemption after the Gaels wasted a 25-point lead in a first-round loss to BYU in last year's NCAAs.
This year, the fourth-seeded Gaels (20-13) won their way in, beating rival Manhattan 60-57 on Monday night to claim the MAAC tournament championship.
The Red Foxes (26-6) led the Gaels 40-33 early in the second half before scoring 11 straight to put the game away and start the celebration.
The Gaels got off to the perfect start with Colm Bradley hitting a goal after only two minutes after Ronan McCluskey's shot had hit the woodwork.
BBC: SPORT | Northern Ireland | Gaelic Games | Enniskillen win Fermanagh title
The Jaspers led for much of the game and were up by five in the second half a 17-2 run by the Gaels, who their eighth MAAC title but first since 2006.
The Jaspers, the tournament's sixth seed, led for much of the game and were up by five in the second half before the Gaels went on a 17-2 run to take charge.
After Lamont Jones' jumper with 5 seconds left brought the Gaels (14-10, 8-5) to within 105-104, a turnover by Bowie gave the ball back to Iona for a final shot, but Sean Armand missed on a 3-point try with 3 seconds left.
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