MK2 does have everything in the cabinet running of the transformer in the bottom (which also puts out low voltage AC for the coin door lamps). It's no real harm, but I wouldn't trust it to run an entire PC. PCs draw a chunk of juice. Switch-mode power supplies are isolated in and of themselves, so running it off the isolation transformer that's powering the monitor does no real harm, but it does add load to the transformer. The marquee light is of little consequence.
I have been told that the MK2 transformer actually has two separate output windings. One was intended for the monitor and the other "everything else", but that's not how the cabinets got wired up in the real world. Again, it's of little consequence, though your marquee light might shock you. Fortunately, it's covered.
As for the 130V at the output, that's because it's configured for 110V input and 120V output, but your AC line voltage is closer to 120V. The discrepancy arises because the AC line voltage in the USA has slowly increased since that cabinet was made. 110V was common back then, especially in older buildings with heavy electrical loads (like arcades), while everything in the cabinet was designed for 120V as that was the new "ideal" going forward. It's probably not a huge deal. Unfortunately, there's no 1:1 option on that transformer, despite it having several input taps. The best you could do is reconfigure it for 130V (iirc) input, and you'd get about 110V out. I wouldn't worry about it.
Here's what I'd do: unplug the existing SMPS DC supply and remove it and the boardset. Install the PC and plug it into a standard wall outlet. Leave everything else alone. That's easy to do, easy to go back, and it's pretty "proper".