JustinLovesIzzy, sorry, no solution here but wanted to say that I had the same thing about a week after installing FF14. Out of the blue, the computer would kick me right out and restart. I tried the drivers as well, update, uninstall, reinstall etc. Nothing worked for me. Sometimes I could play an entire evening and sometimes it was impossible to play due to the restarts. I have a Geforce GTX 680 by the way.
To this day I am not even sure what fixed it, all I know, there were a couple driver updates through the Nvidia Control Panel and at one point in time it just stopped restarting. Some time back I experienced the same thing when I installed Minecraft. Same card, computer started to act up with restarts even outside of the game. I uninstalled it and it worked fine after that.
So far everything works fine for me, knock on wood.. Hope you figure yours out soon.