1. If your kids go through the machine, loudly accuse the TSA of child pornography. If your kids go through the patdown, loudly accuse the TSA of child molestation. (If you have a suitably eccentric or sympathetic local law enforcement head, like a county sheriff, this might be the way to go, but there's probably some sort of federal immunity against actual prosecution.)
2. Upon entering security, strip completely naked.
3. Opt for the pat down and take a dive, claiming the screener hurt your testicles.
4. Opt for the pat down; pretend to enjoy it.
Note that, like most forms of nonviolent resistance, many of these can get you arrested or at least stop you from making your flight. Getting arrested to make a point is a proud tradition, however. And unlike a mere protest, these kinds of actions can sabotage the TSA or potentially cripple air travel if you get a large enough coordinated protest.