I typically list major projects I work on separately, but usually by description, not project name. I've reviewed resumes from others who list the actual project.
Either of these is fine, IMHO.
-mechanical engineer(did blah, blah, blah) for 2x1 combined cycle project in CA.
-mechanical engineer (did blah, blah, blah) for [Name Here] 2x1 combined cycle project in CA.
As long as you are honest about what you did and were nice to your co-workers, no need to worry about someone knowing someone who knows who you are.
Sort of a funny story. . .
When I was a first-year engineer, I did the home office field support/project wrap up for a particular power plant project, and the field engineer that I worked with was kind of a jerk and ended up getting terminated before the project was closed out. 7 years later, I was interviewing him for a position at a different company. He didn't know who I was, but I placed him because his resume had that project name on it. I didn't hire him.