Except, the temperature is generally too high for bacteria to reproduce rapidly (your body gives you a fever of 105*F to fight infection), the water is under pressure, and is usually full of chlorine or chloramine.
I don't doubt that there are a few hardy strains of bacteria that could thrive in such conditions (some particularly nasty microorganisms can live in natural hot springs, for example), but it seems pretty unlikely that they could survive the trip through public water processing plants.
If you have a well, then all bets are off.