For those of you without kids:
I've traveled domestically and abroad 14 times in the last 4 years, with a 1 through 4 year old, plus gear. At 1, they don't notice. At two and three, she would reliably freak out at security. My conclusions: The wait tests her patience. The packing/unpacking, undressing/dressing, unstrollering/strollering, takes away all of her comfort. Then, her mother walks away, through a big machine, towards a person with a wand.
We've learned it's best if mom goes first carrying nothing but a boarding pass, so that my daughter walks through the machine, to her mother. Then I follow, with absolutely all the gear. Often there is a meltdown, but then one parent is 100% focused on it, while the other worries about stuff, repeat scans, etc.
Now three of those twelve times, security has helped us a lot. In JFK, Hong Kong, and Beijing, they pulled us aside, and screened us in the priority/first-class lane. There's fewer people, a more enclosed space, and less overall distraction.
This post is just about kids and travel trouble; everyone else has the body-cavity-searches-sucks thread covered.