Christ also has a human soul

Christ, however, could not have appeared among men except as a man. Restore, therefore, to Christ, His faith; believe that He who willed to walk the earth as a man exhibited even a soul of a thoroughly human condition, not making it of flesh, but clothing it with flesh.

Tertullian
On the Flesh of Christ
Chapter XI

Christ’s flesh was identical to our own

…what is blood but red fluid? what is flesh but earth in an especial form? Consider the respective qualities,—of the muscles as clods; of the bones as stones; the mammillary glands as a kind of pebbles. Look upon the close junctions of the nerves as propagations of roots, and the branching courses of the veins as winding rivulets, and the down (which covers us) as moss, and the hair as grass, and the very treasures of marrow within our bones as ores of flesh. All these marks of the earthy origin were in Christ; and it is they which obscured Him as the Son of God, for He was looked on as man, for no other reason whatever than because He existed in the corporeal substance of a man.

Tertullian
On the Flesh of Christ
Chapter IX

Heretics use the Scriptures to try and deny that God was actually born of a woman

But whenever a dispute arises about the nativity, all who reject it as creating a presumption in favour of the reality of Christ’s flesh, wilfully deny that God Himself was born, on the ground that He asked, “Who is my mother, and who are my brethren?”

Tertullian
On the Flesh of Christ
Chapter VII

Angels can take on flesh but are not born

It is plain that the angels bore a flesh which was not naturally their own; their nature being of a spiritual substance, although in some sense peculiar to themselves, corporeal; and yet they could be transfigured into human shape, and for the time be able to appear and have intercourse with men. Since, therefore, it has not been told us whence they obtained their flesh, it remains for us not to doubt in our minds that a property of angelic power is this, to assume to themselves bodily shape out of no material substance.

Tertullian
On the Flesh of Christ
Chapter VI

Christ birth and death are linked. You can’t have one without the other.

When, therefore, they set forth the flesh of Christ after the pattern of the angels, declaring it to be not born, and yet flesh for all that, I should wish them to compare the causes, both in Christ’s case and that of the angels, wherefore they came in the flesh. Never did any angel descend for the purpose of being crucified, of tasting death, and of rising again from the dead. Now, since there never was such a reason for angels becoming embodied, you have the cause why they assumed flesh without undergoing birth. They had not come to die, therefore they also (came not) to be born.

…The law which makes us die is the cause of our being born. Now, since Christ died owing to the condition which undergoes death, but that undergoes death which is also born, the consequence was—nay, it was an antecedent necessity—that He must have been born also, by reason of the condition which undergoes birth; because He had to die in obedience to that very condition which, because it begins with birth, ends in death.

Tertullian
On the Flesh of Christ
Chapter VI

The nature of the hypostatic union — God and man

Christ could not be described as being man without flesh, nor the Son of man without any human parent; just as He is not God without the Spirit of God, nor the Son of God without having God for His father. Thus the nature of the two substances displayed Him as man and God,—in one respect born, in the other unborn; in one respect fleshly, in the other spiritual; in one sense weak, in the other exceeding strong; in one sense dying, in the other living. This property of the two states—the divine and the human—is distinctly asserted with equal truth of both natures alike, with the same belief both in respect of the Spirit and of the flesh. The powers of the Spirit, proved Him to be God, His sufferings attested the flesh of man.

Tertullian
On the Flesh of Christ
Chapter V

Was God not really crucified?

But answer me at once, you that murder truth:  Was not God really crucified?  And, having been really crucified, did He not really die? And, having indeed really died, did He not really rise again?

…O thou most infamous of men, who acquittest of all guilt the murderers of God!

Tertullian
On the Flesh of Christ
Chapter V

The Incarnation is foolishness to man

But, Marcion, consider well this Scripture, if indeed you have not erased it: “God hath chosen the foolish things of the world, to confound the wise.” Now what are those foolish things? Are they the conversion of men to the worship of the true God, the rejection of error, the whole training in righteousness, chastity, mercy, patience, and innocence?  These things certainly are not “foolish.” Inquire again, then, of what things he spoke, and when you imagine that you have discovered what they are will you find anything to be so “foolish” as believing in a God that has been born, and that of a virgin, and of a fleshly nature too, who wallowed in all the before-mentioned humiliations of nature?  But some one may say, “These are not the foolish things; they must be other things which God has chosen to confound the wisdom of the world.” And yet, according to the world’s wisdom, it is more easy to believe that Jupiter became a bull or a swan, if we listen to Marcion, than that Christ really became a man.

Tertullian
On the Flesh of Christ
Chapter IV