The term to incorporate can mean to unite closely or so as to form one body. The word corporate is referring to the whole as opposed to the parts. For, example, we can talk about the Congress or the Senate as a whole, but they are not really one body. As a consequence of living in a sinful world, there is a need for checks and balances, and accountability, hence representative government/voting. Any legislation is typically voted on by all but is only won by the majority, signifying a lack of true oneness. The USA's Supreme Court also works this way. Although all 9 judges make a corporate body, they vote on their cases individually, and the majority vote wins. So, technically speaking neither system is really one in mind and purpose. They are not, by biblical definition, really incorporated.
However, a symphony orchestra can be considered incorporated, for they all play as one. What brings a musical group together is each musician in the orchestra plays a different part of the same musical composition, from the same sheet music and under the direction of a conductor. All musicians follow not only the sheet music but also the conductor's guidance as to how and when to play the piece. So, when we talk about an orchestra in a corporate sense, we are talking about the orchestra and its conductor. If the orchestra was a body, then the conductor would be the head and musicians, the remaining parts of the body.
Our bodies work similarly. Yes, the body parts are pretty much interconnected in many ways and seem to cooperate rather well with one another. However, upon closer inspection, it is apparent that they really work together only in cooperation with the brain. The brain is the headquarters, where each of the members sends its concerns. The mind is the one that gives instructions which, if carefully followed, alleviates the concerns. The hands do not talk to the eyes or legs. When the stomach is hungry, it signals the brain. The brain, in turn, tells the legs, "go to the refrigerator," and then tells the hands, "open the door," and so on. The stomach did not talk to the legs or any other part of the body. Not one member of the body consulted with another; instead, all concerns (and desires) go to the brain. The decision to eat is not a community decision; it is the brain's decision. The brain is the one that is in charge of the body's working system; the community (of bodily members) is not. This is the system that God has designed, and it works effectively and efficiently to carry out the tasks that He has designed.
This is something to consider when we use Paul's metaphor of the church as a body. Paul uses this metaphor a few times; some examples are in Romans 12:4 - 5; 1 Corinthians 10:16 - 17, 12:12 - 27; Ephesians 1:20 - 23, 4:4 – 12, 16, 5:30; Colossians 3:15. He says that just as the physical body has many members working together for the sake of the body so does the church have many members working together for the sake of the church.
In Ephesians 5:23, 24, Paul ties the body to the head (where the brain is),
…Christ is the head of the church: and He is the Saviour of the body. Therefore … the church is subject unto Christ,
Notice what Paul says: the head is Christ, and the rest of the body is the church. In verse 24, Paul adds that the church (the rest of the body) is subject unto the Christ (the head). In Colossians, Paul repeats that Christ is the head of the body (Colossians 1: 18). Paul adds in Colossians 2:19 that it is the Head "from which all the body by joints and bands having nourishment ministered, and knit together, increaseth with the increase of God." Christ sends His Spirit to our minds, and in conjunction with the Godhead, He controls the mind (if we allow Him to). As a consequence of receiving the indwelling Holy Spirit, we receive the attributes of "lowliness and meekness (humility), with longsuffering, forbearing one another in love; endeavoring to keep the unity of the Spirit in the bond of peace" (Ephesians 4:2, 3). And the Holy Spirit gives to each of us, spiritual gifts according to His discernment. As Ephesians 4:11, 12 says:
And He gave some, apostles; and some, prophets; and some, evangelists; and some, pastors and teachers; For the perfecting of the saints, for the work of the ministry, for the edifying of the body of Christ:
You see, as long as we remain united to the Head, the Spirit resides in us. As long as the Spirit remains in us, we have the attributes (love, joy, peace, patience, kindness, goodness, faithfulness, gentleness, self-control, humility, etc.) and the gifts. However, when we start consulting with one another as if we were a community, then we lose the attributes, which is what brings cohesion among us, and we lose (or misuse) the gifts. The qualities and the gifts come from the same source, and they are part of one package. You cannot have one without the other.
For the church to function as a body, we need to behave more like a body, by communicating with the Head (through prayer, devotions, and bible study). As long as the church acts as a community, it ignores the Head, works in its own strength, and loses the blessings of the attributes and the gifts, and therefore fails. For the church to be an effective body, it must stop behaving like a community, and it starts by allowing Christ - the Head - to conduct and orchestrate all things.