Thanks DJPhatman, you guys are a tremendous help. I did confirm that those Switchcraft Speakon-like connectors leak a little bit through the slots that the connecting lugs come through, and the 1/4" deep-cabinet jacks similarly leak through the small slots that the connecting lugs come through. These are not the usual 1/4" jacks that would allow significant air to pass, but are almost 2"-long threaded steel tubes with an interior phenolic disk on the inside-the-cabinet side, but they will be sealed nonetheless. Where they meet the dish, on the inside, there is already a 3/8" stainless steel washer bored out to accomodate the jack tube. On the outside of the dish they have a fairly wide collar. Those jacks are almost 40 years old, and have been cleaned up with DeOxIt.
My plan was to squish elastomeric sealant into those slots using a caulking gun and fingers, taking care not to goo up the electrically-connecting surfaces, and likewise seal the mounting holes in the dish. Finally the same sealant would be applied to the lip on the dish as it is attached to the cab with 4 #10 sealant-coated panhead machine screws (I would be doing the sealant-coating).
The sealant I'm talking about is a colorless transparent material that reeks of toluene/xylene/other brain-rotting organic solvents, much like the Testor's "airplane glue" of old, except that when it cures it is rubbery, not brittle at all.
Grant tried to talk me out of it

but I'll be covering the cabs with matte black Formica, then edging them with aluminum extrusion, so this sealant will be between the steel dish and the Formica. I'll be mounting the tweeter horn and the recessed handles the same way, except for the handles I'll be using hurricane nuts instead of screws. Actually only one handle is inside the box proper; the other one is in the exterior side of the bass horn. These are the smaller Penn-Elcom recessed handles with the steel bar and plastic dish.
While we're on the subject of airtightness, the plan for the large removable back panel was to apply neoprene tape to go between the panel and the back flanges, and once again use hurricane nuts to fasten it to the flanges.
Will this deal with the leakage you think?
Many thanks for your help and advice, no fooling
--aeolos
Well, either it will work, or it won't.