It's as safe as any other city.
Talk it over with your sponser if you must. There are meetings on the playa.
The question I ask you, is do you carry "safety" inside you? Do you want to remain sober or are you looking for a chance to slip?
There are people in altered states of consciousness (not all chemically induced) all over BRC. There are plenty of sober people as well. I don't drink much (even if I'm in a bar camp!) in part because the environment is tough enough for me that I don't want to push my body any more. I've taken the ambulance ride to Reno. It was no fun.