A child cries and you're suppose to stick a pacifier in its mouth? That wouldn't be good parenting. Kids cry. I remember that "cry" when the child just wanted attention and most mothers know when to ignore it. Otherwise, everytime that child wants attention the child will cry.Isn't that what pacifiers are for?
I think moms should do their shopping online instead of insisting that everyone else deal with their kids' crying and whining and bad behavior.
One of my 'favorites' is the mom telling their awful kids that if they don't stop (insert bratty behavior here), they're going to leave. And everyone around her, including the kid, knows it will never happen.
Children tend to try this out in public places just b/c a lot of parents scramble not to "bother" other shoppers. Now screaming, tantrums, etc.-- you should leave the store. I have left full carts (and apologized to the grocery workers for it who were gracious and understanding about it) and left the store. You only have to do that a couple of times and the child then knows tantrums won't work.
Try as you might not to shop when you're children aren't cranky -- sometimes it's not doable. You would hope that people remember that they weren't ALWAYS that perfect child either.