This makes me curious, can you elaborate a bit please? How exactly would it work on anxiety? Does taking stuff produce a temporary relief or does it change the structure of your brain for a longer period? There is definitely things we still don't know about this, and it seems promising.
It's an active area of research, plenty of anecdotal evidence has been posted on the net.
Psychedelics can open up your senses to new experiences and methods of thinking. Over time this MAY help with troublesome thought patterns, which is prevalent in the depression/anxiety cycle.
There are therapies involving this if you dig around, or if you're brave you can experiment on yourself. Don't dive in too deep to start off :)