Birmingham have been heading in the opposite direction, and even though they extended their record of scoring at home to 15 games, their best run since 1970, the point means their upward trajectory stalled with the Blues in 13th.
The Potters had four forwards unavailable but looked the more likely team to score in an enterprising first half, when they went close three times in the space of 90 seconds.
Firstly, Million Manhoef forced James Beadle into a sharp save to his left with a snap shot, then Tomas Rigo's volley bounced up against the crossbar, before Tatsuki Seko skimmed a 20-yard shot past the Birmingham post.
That prodded Chris Davies' side, who handed a debut to Ghana winger Ibrahim Osman, into action with Tommy Doyle's free-kick from out wide crashing against the angle of bar and post, and then Jay Stansfield had a shot well saved by 21-year-old goalkeeper Tommy Simkin.
Doyle's looping corner kick to the far post helped break the deadlock, as Stansfield headed the ball back across goal and Iwata nodded home from close range.
Simkin, called into action after emergency loan signing Gavin Bazunu was injured after one appearance, then denied Osman a debut goal with another important save to keep it 1-0 at half-time.
Birmingham sought to finish the match off as Stansfield's close-range shot was blocked, and then Davies threw on 6ft 5in striker August Priske and Colombian midfielder Jhon Solis for their home debuts.
It was Stoke who finished the stronger however as Cresswell's inswinging corner kick was attacked by stand-in captain Steven Nzonzi and the ball bounced off an unsighted Neumann and into his own net.
An almost identical corner kick almost won it for the visitors late in the game, this time Nzonzi's glancing header skimmed the roof of the net.