Well here a few things you should know.
1) Kenosis (which refers to Jesus emptying himself of many his divine attributes for his time on Earth, to be "true man", tempted as we are etc.)
2) There are heresies that describe what you talk about and they are very common I think in what people often think about. "God in a man suit" is how a Christian Philosopher friend of mind used to described that notion, but Apollinarism is the proper name.
Apollinarism - Wikipedia
Ultimately, Eastern Christians like myself would view trying to fully understand this as Holy Mystery that is beyond our abilities.