I believe that we have to work on ourselves and not be so quick to judge or react. We need to take to breaths before reacting or rather over-reacting and thing of reasons why the other person might be behaving in that particular manner.
However, I do agree that children do not belong in shul unless they are quiet or of an age that they can daven. Shul is not a place for children to congregate and play. There is also an issue of dirty diapers in a place where you daven. So it is better to daven at home and not bring your children to shul, stay outside with them, or get a babysitter if you want to go to shul.