Bachelor of Science didn't exist until the mid 19th century. Historically, the four faculties of arts, law, divinity, and theology each had bachelors and terminal (eventually standardized as doctor for all except arts, and master for arts) degrees. The explosion of other degrees (and masters as an intermediate degree, rather than a terminal one, in many fields) is a relatively recent phenomenon.
I know an illustrator with a B.S. in design.
There are lots of people we call "doctor." The ones with Ph.D's. And some of them are lawyers, and are addressed as "doctor."
Also interesting: There was an HN comment a few weeks ago that pointed to a helpful link which demonstrated that the idea of "doctor" didn't start with medical doctors and spread to other disciplines, it was the other way around.
I know I was surprised.
No, the ones with doctorates. A JD's technically a doctorate, a graduate degree, but it would be silly to expect people call you "doctor" because you have one.