it is a right to move freely, free of unreasonable search and/or seizure.
and do you really want your nuts x-rayed?
do you not think there is a reason that the dentist tosses a lead blanket over them when they x-ray your mouth? or a reason they leave the room.>?
It is and you can drive, take a train, walk they may take longer but are all other methods of traveling. These things are being done with to increase the safety of air travel.
IMHO this is no different than giving out certain information as meeting requirements to get a driver's license. If you don't want to meet them then you don't drive it is your choice. Air travel is not a guaranteed right or a requirement to be a US citizen.
I personally don't choose flying as my first option for travel due to the cost and how much of a pain it is to get through security, I don't think it is worth my trouble and time. I would have to be pressed for time in order for me to fly any where. Back when I used to travel for work you could arrive inside the airport 5 minutes prior to your flight leaving and still make the flight, then it was worth flying. I understand the increases in security but find it not worth my trouble any longer but these new requirements would not stop me.
There was just recently a big questions about rights being infringed on at my employer recently and in the meeting that followed it was expressed and pointed out that there have been several law suits filed and lost due to the fact that the measure being taken was placed there for the safety of the masses. The question was them making it a requirement for all employees of the hospital getting flu shot. Though they did not have to, they gave us a way out but they made it such a pain that almost everyone showed up for the shot.
BTW in answer to your last questions. I understand the dangers involved with x-rays and again your choice to fly, if it is that important to you take the train, bus, or auto.