Boycott the invasion of privacy if you must, but instead, I recommend you object to the naked photos on the grounds that they are not well lit or framed artistically.
Nevermind that the security agents are trained for neither apprehension of terrorists or maintanance of radiation-emitting medical equipment. Most are also ignorant of the basic elements of photographic composition.
If you must travel, you should at least come prepared and pass out classy nude shots of yourself to the officers. Tell them this is what you're aiming for.
Might I suggest an homage to Ingres' Grand Odalisque?