I don't see how a game could go on for that long without somebody winning.
Seems like for starters you'd have all of the end techs, which means you have instant victory if you can even momentarily achieve victory conditions.
You've got Artificial Intelligence, which means you get instant units.
You've got ICBM nukes, but both of you have Missile Shield (presumably), so you can't use them anywhere.
(How did you manage to get armageddon so late? Didn't you both have missile shield?)
You've got stealth bombers and even if they get shot down you can rebuild them instantly.
Your economy should be booming for about the last 2 hours to the extent that you'd never be able to kill units (and rebuild them instantly) to spend all your dough.
I just don't see how that happens. The thought of playing 2 hours or so in the Information Age, hurling cruise missiles and helicopters at each other at a frantic pace seems like a migraine headache waiting to happen.