Serious update time.
Another very helpful member named gibbous gave me some tips about fixing this issue, and it looks like I'm making very good progress. I was able to replace the coolant liquid which was definitely the problem. It had congealed and gotten very gross and 'applesaucy'. So I cleaned it out, replaced it with new coolant and the picture is MILES better. It's sharp and looks great.
But here's a new problem. I'm currently out of focus. Here's a picture of a crosshatch before the new coolant:

And here's one after the new coolant, and out of focus. The red/green/blue aren't matching, apparently, but everything is nice and sharp! (Thanks Gibbous!)

The picture is a little fuzzy but that's because I'm Mr. Shakyhands Jr.
There are a few knobs I found on the cab but none of them seem to adjust the 3 colors together. They just stretch the screen, move it up/left/down/right, and adjust the brightness.
Anyone have any advice on fixing this up?
One thing of note: the liquid is not 100% full when i replaced it, as it's almost impossible to get that perfectly full because of the angles involved, as well as pressure. The Red and Blue lamps are the ones that are about 95% full, where as the green lamp is about 99% full. Could that be the culprit?