This strikes me as a great idea. Apparently, some doulas in NYC made the decision to support women in all of their reproductive choices and are now attending women during abortions. Since the job of a doula is to act as an informed advocate and provide emotional support for the pregnant woman, there is a lot they can do during an abortion: explain what is going on, answer the woman's questions, and be a friendly face attending to her emotional needs. It seems that this would also free the doctor to do his/her work efficiently and with good concentration, without having to worry that the patient might be afraid or have questions that aren't being addressed.
The author of the article linked above seems to be uncomfortable with the whole idea of abortion doulas, but it sounds like a good idea to me. If I were getting an abortion, I would be happy to have a doula in the operating room with me.