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From your post:

> Having all three creates the problem of inconsistencies among them, ranging from the wording of quotes to entire events.

While this may be seen as a problem, it is also beneficial from an investigative point of view, as it shows independent narrations and likely independent witnesses, which supports the authenticity of the main events included in the multiple gospel accounts. That is, they corroborate each other in most things; but if there had been a coordinated attempt to fabricate a story, a bit more attention to those inconsistencies could be expected. Taken this way, the inconsistencies support the veracity of these accounts.

You may be interested in further reading about the [synoptic problem](https://en.wikipedia.org/wiki/Synoptic_Gospels#The_synoptic_problem) and [corroboration of historical sources](https://en.wikipedia.org/wiki/Historical_method).