It worked!! The VGA adapter I have linked above works flawlessly with the arcade! At first I kept getting 'No Signal' errors. But I kept changing modes on the adapter and then while the arcade was on I plugged in the VGA cable from the arcade (ouput) into the adapter's input. A $10 LCD monitor I picked up at a thift shop worked without issue! Yay!
Photo attached of the arcade hooked up to a standard VGA monitor.
Also here's a
YouTube video recorded directly from the arcade. The adapters I used were a bit odd, the one linked above, then a VGA to S-video/Composite adapter by Focus TView, finally a S-Video to FireWire adapter to record it to my Mac. Whew! The colors in the video are off, but I think that's because the power adapter I have for the converter is a bit weak.