The words under my name on my forthcoming business cards will read "Librarian/Conservator". I don't know that my employer has ever supplied me with an official title, so when it was time to order business cards those were the words I chose for myself.
These words and their order reflect how I perceive myself in my work. I am a librarian and I am a conservator, but librarian comes before conservator. Or, I'm a librarian who conserves and not a conservator who works in a library. My work is first and foremost about the library - it is about helping the library fulfill its mission. This may explain why, though my hands (and my job description) are all about object conservation, my head is more and more about the broader issues of preservation. By its very nature preservation seems more institutionally focused than is conservation.
I'm sure this self-perception is in part due to the fact that I've worked in libraries longer than I've done conservation,. I've also worked (and continue to work) in a variety of areas within the library giving me an understanding/appreciation for the library as an institution with diverse functions and a broad mission.
I suspect that my library-first approach is also due to the fact that the objects I work on generally do not have the same degree of distinct value that museum/art objects do. The library object derives more of its value because it is part of a collection held within an institution. (The whole of the library is greater than the sum of its parts.)
While I am obviously interested in the issues and techniques of book conservation, I approach these issues and techniques through the lens of the library. I am not a member of AIC or ALA, but if I were to invest in membership and meeting attendance my first choice would be ALA. (My main motivation for attending either organization's meetings would be to meet people - an "in-the-flesh" Facebook experience.)
I'm not suggesting that my work "orientation" is the preferred orientation for everyone who does conservation in a library setting. Others in this field are stronger on conservation and they add a lot to the profession that I can't.
I do think it is important to understand and appreciate the larger institutional context of the items we work on, and the stuff I work on is in a library, and I am a librarian.