IMO I suspect he may have come into contact with the Essenes and Therapeutae at the time, two groups that may have arisen due to the missionary
efforts of the Buddhist Emperor Ashoka, all the way into the middle east, around 200+ years before his birth.
The groups seemed to arisen from a fusion of their knowledge of their native Judaism with the ideas introduced by Buddhism. If Jesus was exposed to these ideas, he could have easily learned about the more esoteric Buddhist practices like
meditation which, when practiced, could have given him some miraculous powers (cf Matthew 6:6), and a recollection of an allegedly almighty God (c.f.
DN1 paragraphs 38-44) among his
council of lesser gods/angels, as Buddhism also teaches.
Exposure to the
Buddhist virtues () might have very well compelled Jesus to preach similarly, in opposition to (or perhaps, a modification of) the hard-line, ritualistic Judaism of his day.
This exposure might also explain things like Paul's description of a
third level of heaven (2 Corinthians 12:2). Compare this with Buddhist ideas of a multiplicity of levels of heavens, each more refined and blissful than the last: The
third heaven in Buddhism is the realm of the Great Brahma - "a deity whose delusion leads him to regard himself as the all-powerful, all-seeing creator of the universe"; this is the deity which those of lesser meditative development would preach about on earth, as is described in DN1 38-44.
Then there are hints about rebirth in the Bible, e.g. Matthew 11:13-14, John 9:1-2, Job 1:21, Hebrews 7:10, etc.
As for the Crucifixion: he was probably just seen as a threat by and to the establishment (Jewish & Roman), and it was a way to eliminate it. It is not unknown in Buddhist scriptures to read where a man dies, finds himself reborn as a deva-god in one of the heavens, then returns to visit earth (e.g.
MN 143).