That will never happen. Given the choice between two methods of searches, both of which have equal safety outcomes, people prefer the strip search over the non-invasive one.
Jeffrey Rosen wrote an entire book about this phenomenon; the book is The Naked Crowd. You can read the story, which is on page 1 of the book, via the Amazon sample:
http://www.amazon.com/Naked-Crowd-Reclaiming-Security-Freedo...
http://www.amazon.com/Naked-Crowd-Reclaiming-Security-Freedo...