So you say, but saint Paul has a much more definite definition of what the church is. He is not one to use vague phrases like "all believers". He is far more specific.
Paul wrote letters to various churches.
He addresses the Roman Christians as "all in Rome who are loved by God and called to be his holy people".
He writes to the church in Corinth, "to the church of God in Corinth; those sanctified by Christ Jesus," 1 Corinthians 1:2 and "to the church of God in Corinth, together with all God's holy people", 2 Corinthians 1:1.
He writes to, "God's holy people in Ephesus; the faithful in Christ Jesus.", Ephesians 1:1.
To the Philippians, "to all God's holy people in Christ Jesus in Philippi".
Colossians, "to God's holy people in Colossae".
And to the Thessalonians, "to the church of the Thessalonians in God the Father and the Lord Jesus Christ", 1 Thessalonians 1:1.
Who are church members? Those who are loved by God, belong to God, are holy, faithful and who are in Christ Jesus.
These things I write to thee, hoping that I shall come to thee shortly. But if I tarry long, that thou mayest know how thou oughtest to behave thyself in the house of God, which is the church of the living God, the pillar and ground of the truth. And evidently great is the mystery of godliness, which was manifested in the flesh, was justified in the spirit, appeared unto angels, hath been preached unto the Gentiles, is believed in the world, is taken up in glory.
1 Timothy 3:14-16 DRB
Yes - and?
He was writing that to Timothy, to an individual, not to a church.
What a protestant means by church - you say "all believers" - and what a Catholic means is significantly different; the Catholic position is the one that saint Paul uses in his letters.
You mean the ones where he addresses church members as being holy, faithful, loved by God?
In his letter to the Corinthians Paul also says that believers are God's temple, 1 Corinthians 3:16, 1 Corinthians 6:19. And Peter says that we are living stones being built into s spiritual house, 1 Peter 2:5.
The sweeping difference between the two meanings of the word church is, well, alarming, especially in light of Christ’s priestly prayer for unity in which he prayed “that they may all be one; even as thou, Father, art in me, and I in thee, that they also may be in us, so that the world may believe that thou hast sent me” (John 17:21). The fact is that, no matter what one’s definition of “the Church” is, we all know that it is not “one” as Christ prayed.
We are one in our faith in God - one God, one Saviour, one Spirit, one Gospel.
Jesus, who was both God and man, died for our sins, was raised again, ascended to his Father and sent his Spirit at Pentecost. Salvation is through Jesus alone - Acts 4:12.
Protestants do not believe a different Gospel; that someone else saves or that we have to be good enough or do good works to earn God's love.
I have said it a number of times before: if someone was standing over us with a gun, asked "are you a Christian?" the only options would be "yes" or "no". They wouldn't be interested in "ah, well, we need to know how you define Christian", or "well we accept the Council of ...... but that group over there don't".
It's the same in the NT; if you're not for Jesus, you're against him. If you're not of the Spirit, you're of the flesh; if you're not walking in the light, you're in the darkness.
You might not like the idea that Protestants believe in the same God and the same Gospel as Catholics, but that's how it is.