Re: Engines
"A major reason why most modern aircraft are cheaper to fly and quieter is the use of the wide "high bypass" engines where much of the thrust comes from a large volume of air at lower speed from the part that goes past the actual engine."
Yes, it will be tough to fit high bypass with large frontal intake into a slippery supersonic shape, I think Concorde Olympus was pure turbojet.
The subsonic noise of Concorde during take off and climb went on for a while and is a greater problem than the very quick b-boom from the supersonic pressure wave.
So fixing the boom is only part of the problem, if the aircraft must maintain a slippery shape.