A little background - LSD was my first drug. I started when I was 13, before I ever had a drink of liquor, or a puff from a cigarette. I tripped probably 75 times between the ages of 13-23.
I firmly believe the same. Every person (without known psychological conditions) should have a psychedelic experience at least once within their lifetime, ideally during the formative years of early adulthood.
These are tools to investigate what it means to be a consciousness here on Earth. They allow people that otherwise may not (I am a staunch Atheist, for example) to experience the ineffable. That changes you, and in my experience, usually for the better. It shows you that you are just a tiny part of the system, and that you have this rare and special gift of existing as a conscious being, able to investigate your own mind and perceptions of reality. It shows you that there is no "outside" yourself.
I do think that most people would do better to try psilocybin, as it has a more "earthy" connected-ness feel to it than LSD ever did for me. To me, LSD puts you into the place of an alien experience this planet for the first time, and psilocybin makes you feel at home in your place in the world. LSD is much more cerebral, while psilocybin is more about the connected-ness.
Either are recommended for use at Disneyland, if you want to get the full experience of just how weird and wonderful this reality is. ;)
edit:
Try psilocybin _first_, then LSD if you enjoyed that.
Psilocybin doesn't last nearly as long as an LSD experience, which can be easier in my experience than just jumping straight into the deep end of the pool.