The biggest problem here is that Williams will not get punished or even marked down in the referee's assessment as according to the rule book what he did (yellow card for simulation) was technically correct. It's just that the timing was unfortunate for Iran that a referee finally got sick of the grass rolling and decided to punish it. If Williams had remembered that he had already booked Pooladi I'm sure he would have used common sense (although I'm not sure how much of this Ben Williams possesses) and let him off with a warning, It's just that he had forgotten or mistook his identity at the 2nd yellow.
Pooladi has to take some of the blame for going down clutching his face and screaming like a little girl from a light push to the chest directly in front of the referee, knowing he had already been booked, The referee asked him to get up twice and he still stayed down. All Pooladi was trying to do was get the Iraqi keeper sent off, so it's quite ironic that his cheating ended up costing his team the match.