1) A terrorist civilization comes into being and starts carrying out terrorist acts across the galaxy. You have to find who these guys are and conquer their planet. (IS THIS THE PIRATE ONE?)
Possibly fake. I haven't seen any indication that this game handles events of this kind. Then again, I play with minors off so I might have never seen anything like this. That and TA has been only recently been released
2) A religious faction is questing to open a dimensional gateway to bring back their "Death god" (a very nasty alien creature from another dimension)...
Could you check to see what game you are reading up for? I don't recall space monsters of any kind existing in GalCiv 2.
I heard they existed for GalCiv 1, but I haven't played the game so I don't know much exact details.
If it does exist though, I would like to know why I haven't seen it yet.
Was looking at the FAQ on the website...
Could you provide a link so that I may check it out? I'm not sure if you are looking at another site or what.