Nah. I know it adds more realism and I know that way I won't be screaming at my computer when my unit lost at 98% odds, but it would destroy the classic Civ experience. To Civilization worshipping tribes of Alpha Centauri merging the games would be like committing sacrilege! (ok I'm overreacting).
And how long would a game take? Let's say it's a 500 turns game. Let's say you'll be at war for 200 of those turns, and for each of the turn you're at war you'll conduct 1 battle. Each battle takes, say 10 minutes. Add that to the time you spent doing playing normally, say, 1 minute per turn that comes to...200x10+500 = 2500 minutes = 42 hours.