Barnet, who had beaten the Dons 1-0 earlier in the season, flew out of the blocks and had an early flurry of chances.
Albert Adomah who, having been denied by Dons keeper Willy Gueret, saw his second attempt somehow deflected over the bar, while Adam Birchall had an effort ruled out for offside.
Ince's side had offered little going forward in the opening exchanges although, in a fantastic four-minute spell, soon found themselves two goals to the good.
The first arrived in the 13th minute from the right foot of Alan Navarro - a rasping 25-yard shot that flashed past Rob Beckwith in the home goal.
However, that effort was matched, if not bettered, minutes later when Lloyd Dyer curled in a sensational 30-yard strike, once more giving Beckwith no chance.
Dyer should have claimed a third, his quick-thinking run not resulting in the finish it deserved, although the half ended in controversy when Michael Leary was handed a straight red card for a blatant elbow on Dons captain Keith Andrews.
The incident then provoked a heated exchange on the touchline between both sets of players and staff.
With the numerical advantage, the Dons never looked as if they would lose their lead, and inevitably it was they who had the better chances after the break.
Jemal Johnson should have done better after being played through by Andrews, although a poor first touch saw the chance gone.
Dyer thought he was about to claim his second of the afternoon when he looked to finish off John Miles' cross, but Beckwith somehow turned his shot over the bar.
Birchall then squandered a glorious chance to halve the deficit having been sent clear only to shoot weakly at Gueret.