We'd have fewer cases of stomach upsets, diarrhea, and staph infection. Plain soap and warm water are the gold standard for hand-washing. This does not kill bacteria, but it does remove them. They go down the drain. It takes 10 to 15 seconds to wash you hands well.
Cold water is okay, too.
It's important to rinse and dry thoroughly with a paper towel, clean cloth towel, or a blower. All drying methods are equally effective. Common sense will no doubt dictate other hand-washing opportunities. Hand-washing should be a matter of good sense. Bacteria are part of our natural environment, and not all of them are harmful.