Listing publications for a non-tenure track teaching job?

A PhD is a research degree. To earn it you need to publish, even if just the thesis, that is considered a publication. If the job requires a doctorate then they are explicitly asking for trained researchers who want to switch to teaching. They consider it valuable to the job, presumably. And it probably is.

Either way though, your CV should include everything you've done. It does not have to be tailored to a job. You do that with your cover letter, and research/teaching statements if you want. At least you will show, that while you weren't getting specifically-applicable experience, you're a productive worker who will devote yourself to whatever you do.

Teaching positions at universities and colleges are also typically very competitive, and you will have a disadvantage versus those who already have teaching experience. You need to highlight everything that helps you. Including your research. For example note how you would like to leverage your research experience in your coursework in some way, such as help provide motivation or course projects. You need to give this kind of thing a lot of thought and show that you have done so. Consider the specific courses and the syllabus you would create (perhaps create some materials to show them). This will help even if they will provide you with materials to use.