There is no distinction that can be made, from any perspective within time, between “the Jesus of history” and “the Christ of faith.” Christianity is literally founded on the premise that those two phrases have a single referent.

Jesus of Nazareth is cosmic, and existed before the dawn of time. The logos of God slept in a manger and grew up in a specific town, where he had specific friends and neighbors and where he learned to like and dislike specific things.

Jesus the Christ, wholly uncreated and begotten before all worlds, was born into creation at a specific point in time. It has to be both. Wholly both.

Became incarnate at a specific point in time, yes - but the person who became incarnate was not a novel invention, a hybrid of the second person of the Trinity *plus* something or someone else. He whom Mary taught to speak was the Word, and always had been.