Hmm...I really have no idea what you're talking about. You're talking about the iPhone version right? The only thing I can think of is if you have no culture and the opposing civs with a lot more culture "turn" your cities. That's all I can think of. It has nothing to do with resources. You just need to build temples and cathedrals.
That might be what happens. When I focus so much on the military, my culture starts to fall, and when I conquer too many cities it gives me the message "The people are revolting, and are going to side with (nation x)," so it is probably just what you were talking about. I just kinda thought for micromanagement, the options to control taxes and such, and having to always balance your focuses. Thanks for clearing everything up for me!
Civ Rev is cool but appears VERY abandoned with no sign of the MANY promised enhancements and bug fixes (it came out Aug 10th and other than frequent random price changes, no updates).