Do you distinguish between "church" and "Body of Christ"? I have found that it helps to get on the same page with terminology when discussing something.
There is no universal of body of Christ.
The local church is "a" body of Christ.
If one wants to label all believers under one term it is more accurate to say that we all belong to the "family of God," for we are all brothers and sisters in Christ, or we all make up the bride of Christ, or the kingdom, but not the body or the church.
1 Corinthians 12:14 For the body is not one member, but many.
15 If the foot shall say, Because I am not the hand, I am not of the body; is it therefore not of the body?
A study if 1Cor.12 makes this abundantly clear. Paul addresses the Corinthian local church as a body of Christ. He calls them the body here, and he talks of their members, each having a specific function in the local church. This is impossible in a so-called universal church. His description is applicable only in a local church. The letter was addressed to the local church at Corinth.
1 Corinthians 12:20 But now
are they many members, yet but one body.
--They were one body--a body of Christ. Christ was their foundation (1Cor.3:11). That had already been established.
1 Corinthians 12:27 Now ye are the body of Christ, and members in particular.
--Paul refers to them as the body of Christ.
However the definite article is not there. It would be more accurate to say:
"You are "a" body of Christ." Every Bible-believing local church is a body of Christ; a local body of baptized believers with Christ as its foundation and the Bible as its authority.
1 Corinthians 12:26 And whether one member suffer, all the members suffer with it; or one member be honoured, all the members rejoice with it.
--This refutes any possibility of it referring to a universal church.
The believers in Africa, South America, Asia, etc. have no idea what are the sufferings of the people in my church. The cannot "suffer with my members."
However, when one of my members suffer, then all of our members suffer with that member, and we do what we can to help. This is applicable only to a local church. The entire chapter is speaking of the local church, and the local church as a body of Christ.