You keep talking like Georgia is geared towards a diplomatic victory despite the fact that they have literally no bonuses in that area. I could say the same thing about Genghis Kahn - "why would I want to use his mounted unit combat bonuses if I'm going for a diplomatic victory?" - and it would make just as much sense.
Georgia's no less geared towards a domination victory than a diplomatic one. Hell, they're probably *more* geared towards domination now. You say that Georgia has no real reason to be aggressive - well they now they do, with no incentive to play peacefully (which they never really had to begin with, either). They have no real reason to chase a diplomatic victory over any other, though. If you want to go for a diplomatic victory with them you certainly can, but that's your choice and pretty clearly not what they're designed to do.