John’s Gospel lists three Passovers; the Synoptics include a fourth; Matthew & Luke strongly suggest a 5th Passover, between John’s 2nd & 3rd. Five Passovers contain a 4 year chronology of Jesus' public ministry, which dates Herod Antipas' beheading of John (and Jesus' subsequent withdrawals from Galilee) more fittingly prior to the fall of Sejanus (ie, John died in early 31 AD, not 32). This circumstancial evidence explains much which the alternative view leaves in doubt, providing further weight for accepting the 5th Passover, and thus, the four year chronology.
The four year chronology begins with Jesus' baptism in 28 AD, which allows us to date the Lord's birth as early as 7 BC, keeping strictly to Luke 3:23. Indeed, 28 AD falls 34.5 chronological years after the spring of 7 BC, which fits two other plausible theories on dating the nativity - 12 years prior to Archelaus' exile and two years after Herod's punishment in 9 BC. (In this view, the census must have been organized during Herod's year of disfavor in 8 BC and completed by 7 BC.)
Two incidental points remain. First, astronomical data for the initial "star" of the Magi fits as well in 7 BC as for any other year. And finally, arguments from John 2:20 are unfortunately irrelevant because the amount of time spent on the pre-construction phase of Herods Temple project is completely unknown.
Therefore, it seems most likely Jesus was crucified in 33 AD, baptized in 28 AD, and born in 7 BC.
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That's my effort, today, to be succinct. It's not airtight "proof" but it's internally consistent and might be the most comprehensive view yet presented of all the data. After three years of working on this chronology of the gospels, I can't find any problems with it. Can you?