You do not go into much detail about the electrical properties of the LED light strip. Two exposed wires could carry some low voltage (and low current) that the LEDs themselves use - say 3.3V at 25mA. If the LED light strip plugs into a wall socket (you don't really say) then my assumption is that exposed wires are approx 120V AC and will deliver 15A worth of current (at least) as this is the fuse-box breaker max before tripping the over-current of a typical wall socket.
Given the arcing and damage - I imagine the wall socket 120V/15A shorted with earth ground ("Chassis Ground"

of Montage. I do not have the Montage schematics - but it is typical for the chassis to be tied to the "round fat toothpick" (ground) part of the wall socket which kind of looks like the mouth and thin vertical lines of a wall plug are the power delivery. Sometimes people either break off the ground lead of a cable or use an adapter that does not have the ground connection in order to do a "ground lift". If this is done, then you defeat the safety property of tying the chassis to earth ground which carries with it the potential for electrical shock for the user. Also, in cases like this when you short power to the chassis ground - the current has to travel through the power lines instead of earth ground to reach its final destination. This can be problematic as the current induced will jump around trying to find earth ground (similar to lightning).
I'm not sure the warranty covers if you shoot your keyboard with a shotgun - or short out 120V with the chassis. It's worth a "shot" - but expensive equipment deserves accessories that are of quality construction which generally rules out dollar-store class accessories or bottom-dollar "no-name" China (or any other country's) junk that generally breaks as you bring it to the cash register. Live and learn.
I think the arc of 15 (or more) amps of a mid-range voltage (120V) shot through random parts of your keyboard's circuitry. The tech may be able to see scarring/delamination of the PCB or damaged components. Every component has its limit and the DC portion of the design is not going to tolerate a 120V potential - nor do these components tolerate several amps of current. If the design uses tantalum caps - then these tend to "pop" when electrically overstressed and themselves can be a short-circuit issue. Removing damaged caps often is a quick fix - but you may have much more than just caps gone bad.
This isn't something the casual shade-tree mechanic is going to be able to fix. Given the cost for labor - the best bet may be to swap out an entire board or boards. Again, I do not have the schematics nor have I torn open a Montage. Going by past keyboards - it is typical for the analog output stage to have its own PCB assembly. If this is really all that is damaged - then this would be one of the cheaper boards to purchase from parts and have replaced. For this type of job without any debug - you could use a casual shade-tree mechanic type repair tech. One who follows proper guidelines for handling of PCBs and isn't going to bull-in-a-China-shop (as in "fine China"

the innards of your keyboard or the enclosure itself.
You've seen where going cheap got you before - so strike some balance that gets you a qualified repair tech.
The lack of green bars on the mixer output does not agree with the theory that only your final output stage is the problem. I'm not sure I understand which green bars you're referring to. If the bars somehow relate to just the Main L&R and not each individual part - then this could still be some sort of final output stage issue if that DAC provides the level feedback. But if you're looking at individual PART level green lines - then this points to problems further down closer to the root of this tree and not just the Main L&R branch.
If I shot my keyboard with a shotgun - I don't think I would get very definitive answers from polling the forum for what went wrong or otherwise having someone characterize the failure without looking inside the unit.
You're going to need either pay someone to deal with this or get a new keyboard and sell the one you have for parts while disclosing how it was damaged.