The corruption of the literal flesh is just mortality, which all living creatures are subject to. You don't suppose my kitty is sinful because her flesh will someday rot, do you. (Well, she's a vixen, but she's not sinful.)
Now, with regard to the body, you already pointed out that Jesus took on Himself exactly same kind of body we have. He would not have robed himself in something sinful.
Notice: Eph. 5:28 So ought men to love their wives as their own bodies. He that loveth his wife loveth himself.
(Notice, both loving one's self, and loving one's body are used to illustrate proper love for one's wife, which is further used to illustrate Christ's love for the church.)
Rom 12:1 I beseech you therefore, brethren, by the mercies of God, that ye present your bodies a living sacrifice, holy, acceptable unto God, which is your reasonable service.
The blemished were rejected as sacrifices in the Old Testament. Here we are commended to present our bodies as sacrifices unto God, and they are called "Holy" and "acceptable" to God.
1 Cor 6:13-14 Meats for the belly, and the belly for meats: but God shall destroy both it and them. Now the body is not for fornication, but for the Lord; and the Lord for the body. And God hath both raised up the Lord, and will also raise up us by his own power.
...and He is going to raise us up, just as He did our Lord.
1 Cor 6:19-29 What? know ye not that your body is the temple of the Holy Ghost which is in you, which ye have of God, and ye are not your own? For ye are bought with a price: therefore glorify God in your body, and in your spirit, which are God's.
1 Thess. 5:23 And the very God of peace sanctify you wholly; and I pray God your whole spirit and soul and body be preserved blameless unto the coming of our Lord Jesus Christ.
Hank