A comparison was made elsewhere to the effect (I'm paraphrasing), "well, when someone talks about the Orthodox, everyone knows what the Orthodox believe. It's the same with the Church of Christ."
You can't compare the CofCs with the Orthodox Church, which heavily emphasizes CONSISTENCY in doctrine across Orthodoxy.
There's not a lot of consistency among Churches of Christ. In fact, there's increasing variation these days. I don't state that as necessarily a good thing... but just to state that, no, you really can't just say "the Church of Christ believes" X, Y, and Z, since some believe X, others believe Y, while other CofCs believe A, B, or C.