Now that's nasty!! :-))
Take the unit apart. I cleaned all of my caps in a large heated ultrasonic with a denture cleaning tablet. Or you can place them in a fine washables "net" and stick them in your dishwasher. Yours are so filthy, you'll probably need to hand scrub them too.
Or.....you could spring $20 and buy an entirely new set of 2-piece (1-piece not available anymore) caps from Chuck at Unicomp. Mention to him to print "Space Saving" caps so that he adds the extra numpad print.
The case can be scrubbed with whatever you have. If you want to protect the label, you'll have to keep that dry. I used a combination of orange solvent and Simple Green and Armor All and it will look nicer than new. Seriously. My "NIB" unit was somewhat dusty and not altogether spotless. But I'm really anal.....
Remove all of the loose/broken rivets unless you want to perform a nuts/bolts mod. Double epoxy the broken rivets. I air abrade to clean the surface and a small amount of epoxy is sufficient. And then the hardest part....cleaning out the frame. I used various toothbrushes and denture brushes, cue tips, and several paint brushes dipped in alcohol and other cleaners. Takes a while......
It's worth the effort to clean up the "King". And I know you like the Model M since I watched your YouTube vid before I ever even joined Geekhack.
Let me know if you need anything.......
skc