I agree with the other answers that tell you to include this experience in your resume, but I would suggest that you take it even further. At the interview, I suggest that you actually bring it up, and tell in researching their firm before the interview you noticed the anti-nuclear items and were concerned that your past work in that industry might be a detriment. You can even tell them that you considered leaving that experience off of your resume and decided against taking this approach.
Making these statement accomplishes three things:
- It shows that you are interested enough in working with their firm that you did your homework and did some research about the firm, and began thinking about how you might fit with them.
- It also shows them that you make ethical choices even when they might not be in your best interest.
- It provides an opportunity for them to glimpse a little bit of the person behind the potential employee-you acknowledge that changing companies can be a bit nerve-racking and that you (like all of us) worry about what other people think of you. It even has the potential to get the interviewer working to make you feel more comfortable, and selling you on the fact that the company would welcome you anyway...it's always good when the interviewer begins to focus on convincing you to join their firm.
In addition, I suggest that you try to prepare some talking points regarding what you learned from that experience working in the nuclear industry, and how you will be able to use those lessons to benefit your new employer. This is a good way to demonstrate that you can apply your skills flexibly, even in situations where they may not seem applicable.
I faced a similar situation; I was fired from a job and I had to figure out how I was going to address this situation in interviews with potential employers. I chose to address the issue head-on, explaining the mistake that I had made that led to my dismissal, and how I planned to keep from making the same mistake again. When I actually received the offer from my next employer, they told me the fact that I was willing to acknowledge the situation and had thought through how I could learn from it was one of the reasons that they hired me.