No, I would not say a more perfect man.
The new man is already born of God. Rather, I would say that the future redemption of the body completes the believer's redemption, removing the remaining Adamic corruption so that the whole person is conformed to Christ.
removing the remaining Adamic corruption ?
Now this I say, brethren, that flesh and blood cannot inherit the kingdom of God; nor does corruption inherit incorruption. 1 Cor 15:50
Help me out. When does a man's redemption begin and when is that man's redemption completed?
But if the Spirit of Him who raised Jesus from the dead dwells in you, He who raised Christ from the dead will also give life to your mortal bodies through His Spirit who dwells in you. Rom 8:11
Is the new birth an event or a process?
By the same token was the following an event or a process?
And of Jesus Christ, the birth was thus: For his mother Mary having been betrothed to Joseph, before their coming together she was found to have conceived from the Holy Spirit,
Then Joseph her husband, being a just man, and not wanting to make her a public example, was minded to put her away secretly.
But while he thought about these things, behold, an angel of the Lord appeared to him in a dream, saying, “Joseph, son of David, do not be afraid to take to you Mary your wife, for that which is conceived in her is of the Holy Spirit.
And Joseph, having risen from the sleep, did as the messenger of the Lord directed him, and received his wife, and did not know her till she had brought forth her firstborn Son.[fn] And he called His name JESUS. From Matt 1 NKJV
John 3:6 “That which is born of the flesh is flesh, and that which is born of the Spirit is spirit.
According to the Word made flesh are not both a process?