If you're taking the content of the other site, and posting it as your own, I'm sure that would be considered a copyright violation and not allowed. Even if you are giving full credit to the original source, I would think that it would have to meet "Fair Use" criteria to be allowed (relatively small excerpts for satirical or critical review, or as a teaching tool). If you want to quote extensively from another site, either get permission from the copyright owner, or just post a link to the other site. I can't speak officially for Lunarpages, but I would think that you would be in the clear with either action.
You might want to discuss your plans with an Intellectual Property lawyer, to make sure they fall within US copyright law.