That’s where the “Rabbi Dr’s” come in handy.
They say a story about the Satmar rov. He was once introduced as "Hagaon Hatzadik." When he got up to the podium, he said, "when I was growing up, there were those who were gaonim, but not so extraordinary in their tzidkus. And there were also those who were great tzadikim, but they weren't necessarily such big geonim. When someone was called a gaon, we understood it meant 'and not a tzadik', and when someone was called tzadik, we understood it to mean 'and not a gaon.'
"Today," the Satmar Rov concluded. "We must say Hagaon Hatzadik, to portray that he's not a tzadik and not a gaon!"
Now to our conversation... I always feel that a Dr. Rabbi is neither a doctor nor a rabbi...