Stardock support gave me a test savegame with the Terrans on a smallish map. I tested this through 1100 turns and had zero CTD, zero stuck turn. They could not reproduce the problem with any of my saves, yet I was able to experience it on 2 different computers.
At some point, I loaded an earlier save I made, to record AI behavior, and this one got stuck too, yet originally, I played beyond that.
I find it odd that SD couldn't reproduce the problem with your saves. I'll download it and try. So far, I downloaded the first save (from Empress_Fujiko) and it got stuck in wait mode. Now that I've done a wipe and re-install, I'll try again.
<edit> I tried the save games posted in this thread and all of them are stuck on "WAIT". I can't understand Stardock not being able to reproduce it. </edit>