I've been advised by an attorney who specializes in aviation matters
that if you are requested to present your certificates and medical,
that you carefully specify you are NOT SURRENDERING your certificates
but presenting them for purusal.
This came about many years ago when I was making a lot of flights into
Mexico for corporate ops and frequently was asked to present my
credentials. To avoid any problems, I made copies that I presented
rather than my originals that I kept in my pocket.
Alchemy Video Productions of New Orleans did a couple of presentations
for ramp checks and other FAA "visits" that are nice to know. Not sure
if they are in current production after Katrina and its devastation.