At no time was the human body of Christ with two spirits. To place Christ as having two separate spirits one divine and one human would require that the human be the fallen spirit, and therefore sinful. That is impossible. For He was "without sin."The primary problem I have with your assessment is that our body clothes a HUMAN spirit which is inseparable from human nature whereas the body of Christ clothed a Divine preexistent Spirit in addition to clothing a human spirit as part of human nature.
the former is totally human in nature whereas the latter is not but demands two different natures coexisting in one person.
This is assuming that you are not talking of the "will" but the eternality of the "living soul" in which each body contains (with or without Christ).
The life (that which was the "living, "I" of the human body) was Devine. "“The Holy Spirit will come upon you, and the power of the Most High will overshadow you. So the Holy One to be born will be called the Son of God."
Christ did not have dual spirits.