This comment is rather uninformed. Greco-Buddhist art was real, yes, but emerged far away from the geologic 'West' -- in Bactria, at the edge of India, where Hellenic garrisons had established a kingdom after the collapse of Alexander the Great's empire. We have very little evidence of feedback from there to the west, and so little potential for Buddhism to influence the development of later Greek society or e.g. Rome.
The most we have are faint gestures at how some Buddhists could indeed have been alive in the same place, at the same time, as early Christians. But Christ himself, as far as we know, never referenced Buddha or any Buddhist works, never interacted with a practitioner of the faith (or even referred to one), and all the same applies to the Apostles.
E.g. nobody would suggest that Buddhism was particularly influenced by Greek religious thinking, but we know with certainty that Greeks were present in the region due to their service in the Persian empire of the time.
Reminds me of the movie Man from Earth (don't watch the sequel). The precepts of both Christ and the Buddha are quite striking in their similarities, but perhaps both are a manifestation of an even deeper principle, of what it means to be a good person.
“To most people who are even moderately experienced with entheogens, concepts such as awe, sacredness, eternity, grace, agape, transcendence, transfiguration, dark night of the soul, born-again, heaven and hell are more than theological ideas; they are experiences.” - Thomas Roberts
I recommend the book "Sacred Knowledge" by Willian Richards and the concept of cosmic unity (as the first "birth matrix") from "Realms of the Human Unconscious: Observations from LSD" by Stanislav Groff.
The source of that comes from somewhere too, as it's still a human made construction. It seems like being "good" is simply advantageous to us as a species, hence why it is in all religions.
Not unlikely Christianity was influenced by Buddhism, https://en.wikipedia.org/wiki/Buddhism_and_Christianity.
And certain groups, especially a Gnostic creed Catharism, has a lot of similarities.