My Masters is in Instructional Systems (Florida State). But my last two jobs have been in UX design.
For me it was all about the basics, from the cover letter to the interview. As an ID you must know your students, assess the effectiveness of proposed training implementations, monitor students as they interact with the resources you designed, iterate on the designs, draw on industry best practice, know your heuristics, understand taskflows, understand learning objectives AND student objectives, know basic psychology, etc etc etc.
Sound familiar? Every one of these has a direct analog in UX. There is a learning curve - and maybe you are still on it - where you need to know the in-and-outs of how UX folk talk to one another, their terms, their influential names, their key theories. But the two domains share a considerable amount of common ground, you just have to convey that in simple terms.