I never take my ID out of safe, as if u loose your passport u r in big trouble!
I lock my passport in the safe as well, but ALWAYS have a copy of it on my person. One never knows when one might need it!! Besides, having a nicely tri-folded photocopy of your passport isn't a bad place to stash that extra 1000baht bill!! (whoops, the secret is out of the bag now)
I don't know of many hunters who carry a photocopy of their passport around with them, and I've been lazy over the years and stopped doing it, but there may come a time when that photocopy could save you a lot of time and trouble. So, it's a good reminder to keep such a photocopy on at all time whilst out and about in LOS.
I always hide a credit card and a few thousand baht in my bag or a piece of clothing, just in case of an emergency. and nearly always end up forgetting about it, and either putting it through the wash (not good ) or coming across it some months later (good! )