Oh, I definitely wouldn't. The psychologist Kelly Brownell comes to mind - he's struggled with obesity much of his adult life, apparently, and yet he and many others somehow feel he's qualified to lecture people on nutrition, obesity, and public policy. I think he's kind of a joke most of the time.
I wouldn't take advise from an alcoholic about how to solve my alcohol problem either (although that's the model for many peer-support recovery programs, ironically). But that's different than saying someone who smoked pot three weeks ago on some random saturday night isn't able to give highly competent counseling services to (say) a crack-addicted veteran.
More importantly, I don't personally place any value at all on the quality of being obedient. Obedience is what got highly-trained psychologists involved in developing methods of torture for the CIA (which, apparently, the APA has no problem with -
http://tinyurl.com/7cpdk94).
Again, I understand why people are obedient in this case and I certainly don't fault anyone for it - people's livelihoods and sometimes their personal safety and freedom are being threatened by the state if they disobey. Why would you risk that for anything except taking a principled stand? (I suppose people do make mistakes, too).
But blind obedience, as a quality, is not something I would personally consider a redeeming quality in healthcare providers or psychologists.