The only problem with your interpretation is that Paul clearly said that tongues, prophecy, and "knowledge" would cease after the Bible was completed. So that would be out of the question.
At the same time, you have missed this: 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: Eph 4:11,12)...
Also this: Or ministry, let us wait on our ministering: or he that teacheth, on teaching; Or he that exhorteth, on exhortation: he that giveth, let him do it with simplicity; he that ruleth, with diligence; he that sheweth mercy, with cheerfulness....
And this: As every man hath received the gift, even so minister the same one to another, as good stewards of the manifold grace of God. If any man speak, let him speak as the oracles of God; if any man minister, let him do it as of the ability which God giveth: that God in all things may be glorified through Jesus Christ, to whom be praise and dominion for ever and ever. Amen.
I agree with your basic premise. There must be a plurality of elders in each church (with various gifts) , with no one above anyone else. Not only should there be singing and prayers, but several MEN (Paul says two or three and that would be about right) should minister the Word according to the spiritual gift (s) they have received. But even those who are not elders may participate as the Lord leads. Regardless, the true Gospel should always be presented.
But there should also be a weekly observance of the Lord's Supper, and all members should bring their gifts and offerings. Not necessarily a "collection" but a place where they can put their offerings without any fanfare.
When the Reformation occurred, the Reformers failed to carefully look at the NT pattern, and adopted the ways of the RCC, particularly seminaries. Then evangelical churches copied the Protestant churches, and almost all churches forgot about the NT pattern, and started hiring pastors and making one man responsible for that which is the responsibilty of many.