Just wanted to follow up...
Cheffo and LilShawn, you guys were right.

I had a spare hard drive molex power connector with both +12v and +5v to experiment with. I plugged it into the 60-in-1, Connected the JAMMA harness (but not the power from the harness) and the sound fired right up in the cabinet's speakers.
I had no idea that the +5v powered the built in amp from the molex connector itself. (You learn something new everyday). I had always used the headphone jack for that purpose with powered computer speakers.
So, to answer the OP's question, yes, a brick with both +12v/+5v should fit the bill, as others stated above.
DeL