There is nothing ambiguous, cloudy, or vague about this. Our bodies will be conformed to be like His. It does not say they will be conformed to be like an angel's. It does not say they will be conformed to be like a better human being. They are going to be conformed to be like His body. Paul is referring to the Lord, who is God! Our bodies will be like God's body.
The word conform or, as it is in the King James, fashioned means "to make similar to or identical with." Will our bodies be "similar to" or "identical with" God's? Which one does Paul intend us to understand? John writes in I John 3:1-3:
Behold, what manner of love the Father has bestowed upon us, that we should be called children of God. Therefore the world does not knows us, because it did not know Him. Beloved, now are we are children of God, and it has not yet been revealed what we shall be. But we know that, when He is revealed, we shall be like Him, for we shall see Him as He is. And everyone who has this hope in Him purifies himself, just as He is pure.
When he says, "it has not yet been revealed what we shall be," he means that we do not know some of the specifics about what our nature will be like, but we do know what it will be in a generality: "We shall be like Him."
What other creature that God has created has been given the Spirit of God and is being conformed to His image? Angels? Hebrews 1 says that the angels of heaven worship Jesus Christ. He is greater than angels, and we are going to be conformed to Him! We are not going to be conformed to angels. The conforming is to be to God.
Another thing that John adds here is that this hope—to be conformed to the image of God in Jesus Christ—is what motivates a person to purify himself. It is the engine that drives a person along the Way, because he knows where he is headed. He is not going to be someone slightly above angels but someone like the Son of God, one who is worshipped and is worthy of the worship of angels. This doctrine is not ambiguous in any way. We are going to be like Him, and He is worthy of worship.
Does it not say in Revelation 3:9 that people will worship the saints? Do people worship angels? No, the angels tell them, "Get off your knees, because I am a servant as you are" (see Revelation 19:10). God says we will be worthy of worship as part of the God Family.