Well, the Total War games are all about the battles. The turned based part of the game is a bit too light for me. In Civ, on the other hand, the battles are not, to me, the best part of the game. However, the resource management and the diplomacy are a lot of fun. My point is, of course, that both are a lot of fun but in very different ways.
On this note, what I would like to see is a Civ game with Total War type battles.