Which, I guess, is the rub, here.
You seem to need the theology as presented in the hagiography to be a complete and accurate description of events. Whereas, I recognize that hagiography–especially as practiced in the first century, when even historiography was not subject to the rigors of factual reporting we expect today–may differ from the events as related.
Sure. I believe in the resurrection. I believe it on testimony and the belief of the followers of Jesus. I suspect that they did not record the events in the way that the BBC would have reported them, however. Since you have introduced the Exodus into the discussion, I would note the same thing. I am sure that some group of Hebrews fled conditions of slavery in Egypt, escaping into the Sinai. I do not believe that every plague occurred in the exact order described. I do not believe that Pharoah and his whole army was drowned. I do not believe that there were hundreds of thousands of Hebrews in the flight. I do believe that that people looked back on their history and perceived the hand of God in their deliverance. That tradition was passed down and enlarged upon through time. In the same way, the deeds of Jesus were recorded.
The problem that we encounter is that when you look through the lens of faith and demand that historical events be treated as if the faith-based perceptions were the factual records, you open believers to charges of willful ignorance. Pilate, historically presented as a hard-nosed governor, becomes weak and vacillating. The Pharisees, the group most nearly like Jesus in approach to God’s word, become opponents of God. Actions are attributed to the Jewish leaders that were in violation of both Roman and Jewish law. An outside observer looks at those discrepancies and says “You’re making it up.”
If we recognize that the stories in scripture, even (perhaps especially) when based on actual events, are written to portray an aspect of God’s plan and that the message of the story may differ from the actual events, we may be accused of self-delusion, but we are not accused of lying.
By insisting that the prophetic voice of the Gospels are more factually accurate as history than the historical record, you simply cause unnecessary dissension. By doing so in an insulting way, you actually impede the spreading of the Gospel.