I disagree. Readied actions are resolved right after the completion of the triggering event. If both sides have chosen the same trigger, i.e. the opening of the door, then the resulting fire would happen simultaneously, with both sides possibly taking casualties. If players are prone to readying such actions, however, I would tend to set up situations where they end up firing upon friendly creatures.
I'd probably do it this way too because it seems natural and fun. Two sides unloading at each other as soon as the door opens. Then again players would probably crack the door, use it as cover and drop a fireball inside. Bastards.