Civ is about the trends of history, and how they repeat in each age with new cycles added each time. The infinite upward spiral. If it were about history it would attempt to be realistic.
As for battlemaps, they could be optional and if battles on the battlemap were a valid fun game in and of itself it would never be a drag that you always got dragged into it. Just a tripling (each hit point becoming a subunit on the battlemap, and the battleground becoming maybe a chessboard size map) would be not that different from managing a battle as now, which is pretty fun, only more so. Saying it would be a drag because it would be mandatory is assuming it would be a drag.
What might also be cool would be if there were something like an increasing scale, with each era rather than huge maps. What I mean is, the map size stays the same but with each era, the land area represented gets larger and everything loses detail and changes values to reflect. So when you start in the Ancient era you are a chief of a small tribe, establishing a kingdom among other tribes. The map represents only a small part of the world, so you have a modest sized kingdom once you conquer it all, or get into the Classical era. At that point, the everything changes, and the map triples in size. Now it is a region, and there are other kingdoms. What were cities are now merely towns. Areas that had lots of farms are now farms, others that had only a few merely have that record, like when a worker starts an imp and doesn't finish.
When you enter the middle ages the camera pulls back again, and you have an entire continent. Then in the Rennaissance you have the entire world. Maybe in the future it pulls back again.
OK, kind of like Spore, but done right, and more like a series of Civ scenarios automatically generated based on each other.