Playing a game as China in Regent in Civ3 Complete. Only got in the Middle Ages a few turns ago. I'm about to knock the Incas out of the game by taking their final city; they were much weaker than me, so I decided to seize the opportunity by taking over them. Helped me hugely in catching up in Science, but, because I've been focusing so much on making units, I haven't been building Temples or Settlers, so a lot of my cities (both founded and captured) have been producing no culture. And, of course, I have the occasional stranger country coming in from overseas to try and fill up holes--which annoys me immensely. 
The Mayans have done it once, but, out of frustration, I just declared war on them, since I knew they couldn't touch me (they were on another continent, and I obviously wasn't planning on pursuing them, since I was busy with the Incans, who I was already reaping many rewards from), and killed their warrior and settler, and took over one city. I made peace with them a few turns later and got a tech out of them. But, now the Americans have just landed with another stupid Warrior/Settler combo, and are about to do the same thing.
Btw, I turned City Overturning off, since I thought that was the most ******** and unrealistic feature ever. (Sad thing is, I could use it right now.
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Should I just wait until I establish myself more with my captured Incan cities (after all, it's most likely the only city America will ever have on my continent, and it's so far away from them, so it will most likely not develop much), or should I just say "Screw it" again and kill them? I'm worried about my reputation if I were to just keep declaring war on people, even if I know they can't harm me. Out of all the five civs I know (soon to be four, when I take out the Incans), only one is "Polite" to me, and that's the Japanese. Everyone else is either annoyed (Aztecs and Americans) or furious (Incans and Mayans). Granted, I'm strong, so I'm not worried about fighting anyone, but I wanna chill after I kill the Incans and expand my culture, fill in holes, and build up infrastructure.

The Mayans have done it once, but, out of frustration, I just declared war on them, since I knew they couldn't touch me (they were on another continent, and I obviously wasn't planning on pursuing them, since I was busy with the Incans, who I was already reaping many rewards from), and killed their warrior and settler, and took over one city. I made peace with them a few turns later and got a tech out of them. But, now the Americans have just landed with another stupid Warrior/Settler combo, and are about to do the same thing.
Btw, I turned City Overturning off, since I thought that was the most ******** and unrealistic feature ever. (Sad thing is, I could use it right now.

Should I just wait until I establish myself more with my captured Incan cities (after all, it's most likely the only city America will ever have on my continent, and it's so far away from them, so it will most likely not develop much), or should I just say "Screw it" again and kill them? I'm worried about my reputation if I were to just keep declaring war on people, even if I know they can't harm me. Out of all the five civs I know (soon to be four, when I take out the Incans), only one is "Polite" to me, and that's the Japanese. Everyone else is either annoyed (Aztecs and Americans) or furious (Incans and Mayans). Granted, I'm strong, so I'm not worried about fighting anyone, but I wanna chill after I kill the Incans and expand my culture, fill in holes, and build up infrastructure.