The Bible typically does not explain Christ in terms like these terms and concepts which were fought over at Chalcedon. The Bible emphasizes Christ s work more so than it does His person, especially the metaphysical realities of His person. This does not make a Chalcedonian Christology anti-Biblical or irrelevant. It is necessary that we understand the incarnation in such terms so that we can maintain the Biblical teaching on Christ s work. It is logically necessary because one can only do what they are.
Ability flows from identity.
Someone cannot fix a car unless they are a mechanic. Someone cannot fly a plane unless they are a pilot. If Christ was not fully God and fully man, He could not do what He did to save us. The church fathers understood this, and that is why they attacked the aberrant views of Christ s Person. It is not a matter of denying the Biblical statements, but a matter of guarding them against misunderstanding by treating them as the totality of the truth, to the exclusion of other verses, and logical necessities that the Biblical concept of an incarnation of God produces.