Is teaching experience of any value in a National Laboratory job? I know that national laboratories prioritize research work over teaching experience.  Of course, I have some research papers published in my name, but I also have over 4 years of professional (full time) mathematics teaching experience at the university level, which includes teaching a senior level and graduate level mathematics course.  

Is my teaching experience of no importance/value to the national laboratories?  Is there a way I can sell my teaching experience as an asset to a research position in a national laboratory?
Preface: I worked at a US national laboratory for five years.

Under most circumstances, I don't see teaching experience being very useful in a national laboratory career. You won't lose anything by having it, but you're not likely to be able to spin it as a true "positive" in an interview. The only exceptions to this would be:


If you're going to be in a "customer service"-type position, where you are going to be working with people who are using the services or tools your team is providing. 
You're in a position co-sponsored by a university, in which case you may have to do some teaching anyways.


Also, if you're invited in for a technical interview, you're almost certainly going to be interviewed by multiple technical staff members, so don't try to spin the teaching into something it's not; it won't win you any points with most of the staff members. (All of the staff members I had the fortune to work with had excellent BS detectors.)