I have taken several non-shooting friends out over the years. I have made a couple of pretty serious gun nuts out of a couple of them.
The key is to show them the fun side of shooting without getting into politics first. Many people think a gun is gonna walk up and shoot them (understandably so-the media definitely portrays guns this way.)
Once they see that a gun is no different from a power tool, no different from a coffeemaker, they will realize how silly those misconceptions were.
Plus, shooting is a skill which requires practice. It is satisfying to work at shooting and get better. Many people enjoy that sense of accomplishment