It appears that not a single TSA agent has declined to perform a full-body pat down of airline passengers. That includes patting down small children. They're not patted down on a routine basis, but on some occasions they can be and they are. A child under 12, sometimes way under 12, may be required to remove outer clothing and be touched on such areas as the genitals.
Would you take this job? I don't believe I would. But it's worth reflecting that employment as a TSA agent is a good job in these hard times of high unemployment. The starting pay is $12.85 an hour, better than Wendy's for an employee who doesn't need a high school diploma. Wages go higher. The 40 hours of training are paid for by the government. Agents are given uniforms, badges, "a choice of health care plans," and power.