A welcome outbreak of consensus on this forum! Overnight in an airport hotel and travel on the next day it is!
After a lengthy and very unsettling experience with US CBP at MIA last year my wife is not happy to transit there, so this year we decided to try ATL but, judging from some of the comments above, it may be out of the frying pan into the fire!
Time will tell, in the meantime, many thanks to all who replied so promptly and helpfully.
Bellerophon