For all of you who have NOT experienced the pat down, you should before you speculate, comment, etc. My middle-aged sister just flew from Hawaii. Because her small airport of debarkation does not have body scanners, everyone is patted down. She was wearing somewhat baggy cargo pants.
The screener touched her genitals -- the outer labia to be specific. If this is not too instrusive, I don't know what is.
She and I have an idea that we hope to spread to travelers everywhere in the U.S. Wear a bathing suit or body suit (without crotch snaps) under your clothes. When you put your carry-on, shoes, laptop, etc. in the bin, remove all but your suit or body suit, putting your outer clothes in the bin.
Next, decline the body scanner if the airport has one.
This serves two purposes: It lets the screeners see you almost to the skin, and allows them access to your entire body without going too far -- hopefully. Any video of the screener will clearly show what they touch and don't touch.
After you've been patted down, go to the restroom, remove your suit, put on underwear, and re-dress.
If this doesn't either prove that things are mostly going well, or make the TSA change its policy, I'd be very surprised.
So, if you agree, spread the word.