Update:
The goo can be ignored. An inch up the wire is dry. When the wires were pushed through the conduit, a lubricant specifically for making that easier was used. It would seem that pushing the wires through the conduit made it collect on the ends. I can only imagine that the moisture and bacteria darkened it over time and that it was originally clear.
As for the white powder, definitely a chloride salt. When I looked for my pH indicator solution, I saw a bottle of OTO pool chlorine indicator and had an idea. I took one of those tiny vaseline lip balm containers and glued in two small MMO anodes. A tiny amount of the corrosion (less than a tenth of a gram) was scraped into the container and a tablespoon distilled water added. 15 seconds with a 9v battery to the electrodes made the chlorine content evident by smell alone, but the OTO confirmed it. 100% for sure a chloride salt. And with the after burn from tasting it for saltiness, I am now confident that this chloride is a road salt mixture as magnesium and calcium chlorides burn like that. The corrosion did cause a slightly acidic response from universal indicator solution, but I am guessing that when the salt attacks the aluminum bus bars, the aluminum chloride formed hydrolyzes in the moist environment to aluminum oxide liberating small amounts of HCl gas as a byproduct (which may also have had a darkening effect on the lube used in the conduit).
The electrician is expected to return in the next week sometime and the garage humidity is now well under control. I suggested that they ask the electrician to apply dielectric grease to the bus and terminals after he cleans out the crud. She is also now planning to build a closet around the panels to keep them a bit warmer and isolated from the garage environment. They also plan to look into resealing the cement floor as the coating is wore off on about 30% of it. The floor is a big saltwater sponge right now.
With all this, I think we have it narrowed down to a combination of the floor holding salt water, the floor heat malfunctioning to full heat, and the panel suffering from excessive galvanic corrosion with a side reaction where the aluminum produces trace HCl gas in an enclosed space. And I also believe that the migration of this salt is due to efflorescence.
No sulfur smell, and I am very sensitive to sulfur compounds so I would have certainly noticed that. Thanks to everyone!!! If I have any further updates, I'll surely post them.