This really depends on how the original conversion was done. For all we know this could have been the 3rd or 4th time that this thing was converted, but probably not. The original wiring harness could still be in there all hacked up, or they could have completely rewired the entire thing.
Depending on the number of original components left in there, you really have a couple of options here. If the original wiring harness is still semi-intact and the original power supply is in there, I would try to restore it back to its original state.
If much of the original stuff is gone, I would go the jamma route. Similar to what
Markrvp did with his Donkey Kong. Throw a switching PS in there, wire it up for jamma, and buy/make a
Rally-X to jamma adapter.
As is the case with any restoration, it all depends on personal preference. Some people gasp at the idea of a switching ps and jamma wiring in a classic cab, but I will take reliability over authenticity in a case like this one. My personal philosophy on this is... If you have the original controls, original boardset, and original cabinet... you have the original machine. Wiring, monitor, ps, and artwork (if it is a good repro) can all be replaced or upgraded if needed.