Those who are concerned may be interested to know that Ivory Liquid Hand Soap (and, in all the stores I've visited lately, no other) is a brand of liquid soap which contains no antibacterial ingredients.

Furthermore, it at least used to have a slogan like "so gentle you can even use it on your face" — and it does not have the warning “keep out of eyes” that, as far as I know, all antibacterial soaps have — and I do in fact use it as a face and body wash.