I really don't think it's a big enough problem to warrant a restart. Once all the human players set passwords, you'll only be able to get at your own info plus the AIs, and since they're listed Last, you'll see your own empire first, so accidentally clicking the wrong empire shouldn't be a problem.
I
think Deathstalker can set passwords for the AIs, as well, but I'm not sure of that.
You can pretend your knowledge of where the empires you could see are on the map are legends of "ancient asronauts".
------------------
Cap'n Q
The most merciful thing in the world, I think, is the inability of the
human mind to correlate all of its contents. We live on a placid
island of ignorance in the midst of black seas of infinity, and it was
not meant that we should go far. -- HP Lovecraft, "The Call of Cthulhu"