I have heard the media suggest the same ...Venus Pax wrote:
Not long ago, an LEO poster suggested that we not dig around until the LEO is at our window requesting these documents, as he/she could get nervous about the driver's digging around. It was recommended that we put our hands on the steering wheel so that it would be obvious that our hands weren't digging for other items.
Although Greg's advice seems to make more sense, and is what I would do.