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Lee Worgan's brilliance and an extraordinary injury-time miss ensured Maidstone held on to their unbeaten home record on Saturday afternoon.
Stones' 1-1 home draw with Met Police saw them knocked off top spot in the Ryman League Premier Division, dropping a place to second.
But it could have been worse had Worgan not pulled off a superb save when Matt Pattison went through in the third minute of injury time, with Bradley Hudson-Odoi somehow blazing an easy follow-up over the bar.
Stones broke the deadlock in the 54th minute with Frannie Collin burying a penalty awarded against Jordan Hibbert for pulling back Charley Robertson.
But they were caught out on the break from their own corner for the equaliser nine minutes later as Hudson-Odoi led a counter-attack and crossed for Charlie Collins to head home.
Earlier, United threatened to take the lead inside a minute with a long throw from Alex Flisher met by Collin, whose header was well held by Stuart Searle.
The Met Police keeper tipped over Fabio Saraiva's free-kick soon after but would have stood no chance with a 30-yard half-volley by Tom Mills which crashed back off the bar on 15 minutes.
Stones showed patience in their build-up with Collin often dropping deep to start moves.
Dan Parkinson regularly joined attacks from right-back while Robertson saw plenty of the ball out wide.
It was Robertson's persistence to get in the box that forced another decent save from Searle, while Collin thumped the loose ball wide when well placed after Met Police failed to clear Flisher's cross.
Pattison fired wide when in space as Met Police showed early second-half ambition but United were soon back on the attack with Searle touching Robertson's strike on to the bar from Flisher's ball.
With the score at 1-1, Collin latched on to Robertson's through ball but saw his shot deflected wide.
Flisher and Mills attacked well down the left as time ran out but Stones lacked a final ball and were almost caught out again on the break when Hudson-Odoi's drive was held by Worgan.
Pattison dumped a volley into the side-netting after Hudson-Odoi left Jerrome Sobers on his backside.
United poured forward late on with substitute Alex Brown curling a 20-yard strike from Robertson's pass just wide.
Maidstone: Worgan, D Parkinson, Mills, Sobers, Andrews, Saraiva (Brown 79mins), Robertson, J Parkinson, Attwood, Collin, Flisher. Subs not used: Sullivan, Cox, Phillips, Mitten. Attendance: 2,019