If I get the picture, what you're saying is interesting because it was basically the Jews that had been writing their history, including the sayings of the prophets and warnings from their God.
"God's chosen people" bears a very special meaning closely tied to what could be considered as valid testimony. It resembles how US government can choose CNN as its chosen and exlusive media. If CNN failed the job, it can anytime switch to, say, Fox News. In a sense, chosen people could = chosen media.
So yes, the chosen people shall be responsible for gathering information from eyewitnesses which are the chosen prophets. They canonized it before the "final broadcast", that is, to sort out what to be broadcast just as what CNN would do on a daily basis. "Chosen People" or "Chosen media CNN" is responisble for validating the credibility of the testimonies. Without such an entity, there could be no valid news. A department (of CNN) needs to determine what are credible to treated as factual. Back in Jesus' days, this role is the Pharisees. They however determined that testimonies about Jesus is not credible to be deemed from God.
Now how testimonies are deemed credible? We humans lack 2 abilities. 1) we can't tell a future, 2) we can't change the physics governing our physical world. So in order for Israel (i.e., the Jews as God's chosen people) to reckon the prophets, God enables the prophets to foretell and to perform miracles. The term "prohet" actually means Israel can determine the credibility of a prophet if the prophet has the ability to 1) foretell and 2) perform miracles. However, this requires them to first overcome their own pride to do so. More often prophets are killed first, and for the next generation of the Jewish authority to reckon them as truly from God by re-examining their works/testimonies, that is, when the Jews can put aside own-price to evaluate the prophets more objectively.
By the time when the Pharisees are in charge, they are corrupt. They are not clost to God enough to actually grant a pass to Jesus even when there are many reports that Jesus can perform miracles, and he prophesied the fall of the second temple as well (there's no second generation Jewish authority to re-examine this though).
After all the testimonies are gathered, it is time for Israel to switch to be human-facing. They of course failed to do so, as a result of failed to reckon Jesus to gather the last piece of testimony. God then authorized Christians to do the rest. The eyewitness accounts though are all from the Jews, possible only so it's deemed lawful. The CNN functions of gathering testimonies, granting them credibility then broadcasting in a world-facing manner fall to the hands of Christians.
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