Stanley climbed off the bottom of League Two after securing their first back-to-back league wins since September.
After a crucial 3-2 win over Barnet at the Store First Stadium on Saturday, the Reds beat another of their relegation rivals on Tuesday night to boost their survival hopes.
Stanley charged into a 3-0 lead in just over half an hour, just as they did on Saturday, but this time there was no nervy finish as Lee Molyneux’s fourth goal in two games after the break secured a comfortable victory.
Francis Jeffers had given Stanley a dream start, curling in a superb fifth-minute opener to claim his first goal for the club.
And his second wasn’t long coming as the former England striker latched onto Luke Joyce’s long ball in the 19th minute and headed in the rebound after his first effort was saved.
AFC Wimbledon replied with Alan Bennett’s header testing Reds keeper Paul Rachubka while Tom Aldred’s last-ditch challenge denied Harry Pell when clean through.
But Stanley stretched their lead in the 32nd minute after another long ball caught the visitors’ defence flat-footed, with Will Hatfield charging onto Lawrence Wilson’s pass to convert his first league goal of the season.
Kevin Sainte-Luce hit a post for the Dons after the break but in the 64th minute, Molyneux played a one-two with Hatfield before firing in from the left side of the box.
Bennett sent a free header wide as the visitors pushed for a consolation while Rachubka denied substitute Jack Midson twice late on to secure a welcome clean sheet for Accy.