Someone posted an article on here a while back about a young man who flew in from the US on business and then drove from Newcastle to London while jetlagged, ended up on the wrong side of a single carriageway and killed 3 men.
I think you are conflating two cases. Martin Crew, said to be jetlagged, "veered onto the wrong side of the road" and killed a young woman coming the other way. He got 14 months. Nathan Doud got onto a two-lane road which he believed was a dual carriageway because of the broken central line, which denotes a dual carriageway in the U.S. His sentence was 20 months. (Something I don't quite get - surely if he had kept in the left lane of what he thought was a "dual carriageway", as is required except when overtaking, he would have still have been in the correct lane?)
Drivers, American or otherwise, are not automatically imprisoned if they are involved in an incident in which a person or persons are killed or injured. There would have to be a very strong element, provable in court, of carelessness or recklessness, or as with the guy who drove into and injured the parking attendant, (3 months) deliberate intention. It would appear that things like deciding to drive while in a fatigued or jetlagged state or failing to familiarize yourself with e.g. the rules of the road, lane markings, etc, prior to driving could well satisfy the carelessness criterion.
I think it's good to be prepared when you are driving in an unfamiliar environment.
I would put it another way and say that it would be very stupid and if an accident happened, possibly criminally stupid for a person NOT to do this.