Here's a view of the male plug from under the chassis:

The plastic part of the plug originally had a collar with "ears" that extended under the nuts of the metal mounting piece. The ears have busted away, along with part of the collar. Now it is all flapping loose -- the plastic part isn't connected to the metal mount -- so if you pull on this thing from above, you're pulling on the unsupported leads, which will soon break.
The ideal solution would be to find another plug like this and substitute it, but I'm getting the idea that nobody has such an item (or knows where to get one).
If I unsolder all of the connector leads (ugh!), I may be able to epoxy something in place of the old ears to stabilize this plug. If I do this neatly, the plug will still be serviceable, in the remote event that some insane future owner wants to replace all of these leads.
An alternative would be to ditch the whole mess and install a new Jones-type 12-pin connector. That needs a rectangular hole, of course.
Decisions, decisions . . . .
Phil Nelson
Phil's Old Radios