My suggestion for the name of the merged Association of University Teachers and Natfhe would be the Amalgamated Academical Association, to be known as AAA or 3A. That AAA might also stand for "Absolutely Always Argumentative" is, of course, entirely coincidental.
Vice-president, Senate House AUT (writing in a personal capacity)
University of London
Please send suggestions for a new acronym to firstname.lastname@example.org