I've never thought much about whether my doctor is religious, so it isn't a question I would normally ask.
However, if you were to have asked me if I think most doctors are religious or not, I would have guessed that they probably aren't. Then I came across an article that said doctors, on average, are more religious than most of us think. In fact, they may be more religious than the patients they treat, on average.
Maybe the findings will surprise you as much as they did me. Either way, it's worth reading at "Your Doctor May be More Religious Than You Think."