Turner watched from the stands as a brace from Jon Daly went a long way to bridging the gap down at the bottom.
For the last time under caretaker boss Mark Lillis, the home side got themselves off to a dream start with a goal after just 70 seconds.
A high, hopeful cross from Warren Feeney was inexplicably spilled by Dons goalkeeper David Martin under pressure from Daly, and the ball fell loose to the lanky Irishman who gleefully rammed home from just a yard out.
With Stockport's tails up as new boss Turner looked on, John Hardiker and Jim Goodwin both tried their luck with shots from distance before 10 minutes were up.
Ben Chorley eventually responded with a deflected shot for Danny Wilson's side, then Steve Palmer should have done better when he disappointingly headed Nick Rizzo's corner over from close range.
Both sides traded chances as the first half came towards a close, with Allan Smart going close for the Dons, and County's Marc Bridge-Wilkinson seeing his acrobatic volley blocked bravely by Palmer.
Stockport eventually doubled their advantage on 41 minutes, and it was that man Daly and he rode his luck again.
Mark Robertson saw his initial shot blocked, but the rebound fell kindly to Daly who poked the ball home via a wicked deflection off Gareth Edds.
Rickie Lambert should have made it 3-0 on the stroke of half-time, but he side-footed a shot wide with only the goalkeeper to beat.
Dons striker Izale McLeod was the first to show after the break when he found space down the left but blasted a low shot into the side-netting.
Soon after Gary Smith curled a sweet free-kick round the Stockport wall, but the ball flew a whisker wide of the left-hand post.
The visitors finally earned some reward on 77 minutes when substitute Alex Tapp finished off a mazy run with a 20-yard shot which crept past Cutler.
But Ashley Williams completed a deserved victory late on when his shot from the edge of the box squirmed under Martin and into the net.