Actually, adding a base to an acid will neutralize both. I wouldn't drink the result, however.

Ye Olde Coca-Cola Soake for nails, bologna, and stuff like that has been around for a while and one mostly to demonstrate How Awful Coke is for your innards. Of course, if you retain Coke in your stomach long enough to dissolve the stomach lining, you have much bigger problems and should have sought medical help a long time ago.

Reminds me of the teacher who dropped a worm in a glass of water and the worm thrived. She dropped a worm in a glass of whiskey and the worm shriveled up and died. She asked the class, "What does this prove?" and someone responded, "If you have worms, drink whiskey."