The J-79-15 & -17 engines used by the Air Force had a completely
different starter system than the -8 and -10 used by the Navy & Marine
Corps. Each Air Force engine had an individual turbine starter
powered either by relatively low pressure air or by a pyrotechnic
cartridge which turned the engine mechanically. Navy/Marine J-79s
had a turbine inpingement starter system where high pressure air was
directly blown through the turbine to turn the engine and they had no
self-start (cart) capability. BTW: if you took say an F-4C to a
Naval or Marine Air Station and used one of their high pressure air
sources for the start, you would shear your starter shaft. I might be
off on a bit of detail since it's been 26 years since I've flown a
Phantom but I thnk that should answer your question.