Reading the book of Acts and the letters of Paul do not bear out the dogma that all the early Christians preached. There are no "service meetings" in the New Testament that prepare the average Christian for a public ministry. Reading accounts from contemporary First and Second Century Christians indicates that it was the example of Christians, not the preaching by all, that primarily drew nonbelievers to Christianity.
It is significant that the instructions to preach that are in the New Testament are addressed to "elders" and "overseers" like Timothy. Preaching done by anyone else was "informal witnessing" at best. There is no indication of any organized, formal, day-by-day or week-by-week preaching done by Joe and Mary Christian. Most of the instruction in the New Testament is about conduct, not about preaching. Not one book in the New Testament reads like Our Kingdom Ministry publication. No preaching instructions, no sample presentations, no campaigns, no quotas, no encouragements to "auxiliary pioneer" or "regular pioneer."
Finally, when the New Testament does mention evangelizers in the Church -- literally, "preachers of good news" -- it says specifically that God gave "some as evangelizers," just as He gave some as apostles, prophets, shepherds and teachers. Not all in the Church did those things; some did. Jehovah's Witnesses try to interpret the "evangelizers" mentioned here as missionaries, but that's not what the word means. "Evangelizers" means preachers of good news, and Ephesians 4:11 makes it plain that some Christians, not all Christians, did this. The context of Paul's writings indicates that the some who had the responsibility to preach were the elders and overseers.