Ha... those look like the kind of thing that requires something like 20-guage... or dental floss! That "turn to lock" is the give away... its gotta be low guage enough to bend and lock in place.
If you aren't averse to the work, replacing them with some real binding posts shouldn't be too difficult... a good soldering iron, a drill, various other tools. If you are really ambitious you can cut a whole for a cup with binding posts, but just two holes with the right posts would suffice. Or a Speakon..