The T100 ran a mag until 1959 but that still ran a dynamo and yours sounds like neither.
The original setup for a 1957 5T Speed Twin would have been a (DKX2A?) distributor from 1953-on, and a single 6V (Q6) coil and RM14 (very early type was RM12) alternator was used from the 1953 (RM12) model year-on.
The twin 12V coils do certainly appear to be part of the electronic conversion, hopefully the photos may throw some light on what the "unidentified unit" is, unfortunately the description
uncoloured and not
a box doesn't give us much to go on, nevertheless there is a fair chance that the origin of the parts can be identified, and even if it can't be, then it shouldn't be that much trouble to figure the correct ignition wiring layout for it once we know exactly what we are dealing with?