I am the opposite.  I am afraid of getting pickpocketed but I know a photocopy won't always work.  We didn't need it in Tortola they just looked at our KTTW card.  I had my license in case I wanted an adult drink. 
Small plug for the H.M. Prison Museum.  The lady working there told great stories about the place and some Caribbean history.  It was a short walk from the Port and only $5 a person to tour.  A fun way to get off the boat without breaking the bank