Hmmm, His "conception" (Incarnation was nothing human and or "natural," so why would His birth be? Would you say that His human death, then, was exactly like the death of all humans?
The Christology which the Fathers carefully guarded against all sorts of heresies, states that there is nothing entirely human about Christ; we cannot separate Him from His divinity any more than we can separate Him form His humanity. Yet He remains unconfused, both God and man, in one Person.
A no point was the Incarnate Christ only human. To claim otherwise is to separate Him from His divinity.
Well, since no one here is making that claim, you're talking to yourself.
The fact remains Christ was born in the natural way of childbirth of a woman who required a savior just like the rest of us.
His conception is different because the text says it is different.
His death is the same because the text says he was dead.
His birth was the same because the text says that "she gave birth," and as blue-duncan has so ably pointed out, her bleeding afterward made her unclean.
Now, we either use the text or we throw it out.
He is not separate from His divinity, but He emptied himself of it. Philippians 1, I think.