I’ve ruined the finish on several projects over the years a with the metal jaws in my vice. Replacing the jaws with a non-marring jaw is the way to go.
My solution involved some scrap pine, a hot-glue gun and 5 minutes. I have a strip of pine that I cut from a 2×4 that is about 3/8″ thick. I cut two pieces slightly longer than the jaws of my vices. I then used the hot glue gun to attach them directly to the metal jaws. The vice is its own clamp so I closed it with moderate pressure until the glue dried. It seems to be holding up pretty well. When it fails I’ll just do it again. I have two metal vices so one still has the metal teeth if I need it.
Hope this helps, God Bless,
PS: Now I have to put my wife’s hot glue gun back in her craft room before she notices again!