Just plain soap is an amazingly effective antibacterial. You don't need a tiny amount of chlorohexidine in soap anyway, it's marketing BS.
I find human tolerance of drinking water to be fascinating. My buddy who is Turkish told us he could drink the water in Istanbul but advised we not do it. He's been here 40 years. We were to stay at a fancy hotel, so they might have treated their water additionally, but he said normal tap water there would make us sick.
And, "back in the day", we all drank out of a stream anyway. Dogs do it now with no ill effect.