Didn't help that the original (and I understand that it was the US only that flew them) had a bang seat that fired downwards.
Now, this is fine at 30,000 feet, but not terribly convenient on take off when it suddenly goes very quiet.
While the F104 did only have one lump, not 2 like proper aircraft like the lightning, it was more a case of the pilot having a perfectly usable engine, had it not ingested a great deal of earth shortly after the pitot head spearing the ground.
However it did only seem to be the USAF and the Germans that had problems with turning their planes into scrap. The Dutch Belgians, Canadians and most other users manged to keep their examples in one piece.
But anyway, time of a gratuitous picture of a German Starfighter, and it's in one bit too!