Now I understand you. You have no desire to play an economic strategy game. Shang beats Egypt because of cheap villagers. Phoe, despite your laughable "argument," beats Egypt because of their massive wood intake.
And of the three mentioned, amongst equal players, I will guarantee you 8 out of 10 will choose Hittite over Egypt, if not more (I sure as hell would), simply because the quantity AND quality of their military bonuses is greater, and comes into play much earlier in the game.
Newsflash... it IS an economic game. Egypt's "bonus," faster goldmining, is practically worthless as an economic enhancement, at least when measured against Shang, Phoe, Minoa, hell, even against Summie farms.
Will Egypt chariots beat Phoe chariots in equal number? Of course. Will Egypt CA's beat Phoe? Well, NO. Why? Because it's an ECONOMIC game, and Phoe will have MORE MORE MORE. There shouldn't BE an equal number (war isn't fair).
If you simply want to bash units around, and never mind the messy bother of actually fishing, hunting, farming, chopping, etc, why don't you play Myth II? I have a copy I'm not using.