I usually start out with the fact that there's no dose of radiation that's safe, and that the AITs are untested and run by people with high school diplomas, not radiologists.
I've resigned myself to risking the gropes, but I can't imagine anyone wouldn't understand the desire to keep strangers' fingers out of your pants and off your private areas.
Anyone who says "it's for security!" to me gets a very long winded litany of exactly why this is baloney. To the point that most who know me actively avoid the subject these days.