Global logs would be.. interesting I guess, as a spectator sport. I'm guessing it would put an end to people deascending others with the sole purpose of farming their post-deascension dmu's, since everyone on the server would see the exact time they'd been deascended
I don't like the idea of global logs, in whatever form. Perhaps you could argue, the clash of armies would be heard/felt by nearby ascended beings.. but it just doesn't sit right. Ascended beings are not omniscient, they're secretive and above all, individuals out for themselves first. It would also gimp DM's ability to be anonymous, if it were to come up in global attack logs.
Regarding ranked exp. I would be wary of using the justification ' make it more like main '. Ascended has its own unique flavor. The top 10's are a good example of that, allowing ascended beings to choose whether their prowess is publicly displayed, or to remain apart & aloof.
My suggestion would be to institute a kind of glory, (whatever you want to call it) awarded per turn/day to people who publicly display their rank in any top 10. It would be a way both to reward people for having, and keeping stats.. as well as give people a choice as to whether they'd want to participate in the skirmishes that would follow.