Should you wash your hands with antibacterial soap?

There are arguments for, and arguments against washing with an antibacterial.

One group says that it kills all the germs on your hands, which must be good.

The other group says that it doesn't kill all the bacteria, and that by washing, a person cannot kill all the bacteria, so those bacteria that survive make more bacteria like themselves that are very resistant to the antibacterial.

The point is to wash off bacteria with hand soap, I think, so they aren't as easily transported to your nose or eyes, which are very susceptible to infection.