OK. I suppose it depends how one views 'cherry-picking'.
The Perennialists of the 20th century
Traditionalist School regard Christianity as the manifestation of the inner, esoteric component of Judaism, and as such should have remained as an esoteric school within Judaism. (But that's another story, there was also the opinion that Buddhism was a corrective of, or is a Hindu heresy)
Rather than saying Christianity cherry-picked Judaism, one could also argue that:
a) Jesus was the Messiah the people had been promised and
b) Jesus brought into the light a spiritual disposition inherent within Judaism.
The relationship of Christianity to Greek philosophy is simply that the early theologians believed the faith was reasoned and rational, Koine Greek was the
lingua franca of the region, and certainly the language of ideas. If the religion could be expressed reasonably and rationally, then Greek (and the principles of philosophical discourse) was the language to do it in.
Having said that, the schism between Christian and Hebrew cost the Tradition, I believe. John used the Greek word '
logos', and the analogy of light and dark figures in the Johannine texts, so they were assumed to be Greek and, basically, Gnostically inspired. Later scholarship realised that light and dark were common figures of Hebrew mystical speculation, and that the Hebrew term '
memra' would have been better, had the word been known in the wider world, but it wasn't. It's a shame, because
memra in the Hebrew commentaries signifies something closer to the Christian idea of Incarnation than Logos does.
As for Rome, well Roman mystery religions were largely derivative, and all over the place, and anyone raised a Jew would have nothing to do with them.
As for Christianity, if we look at the earliest known Creed:
"I believe in God, the Father almighty,
creator of heaven and earth."
Show a clear Hebrew origin.
The rest is a potted history of the Incarnation:
"I believe in Jesus Christ, God's only Son, our Lord,
who was conceived by the Holy Spirit,
born of the Virgin Mary,
suffered under
Pontius Pilate,
was crucified, died, and was buried;
he descended to the dead.
On the third day he rose again;
he ascended into heaven,
he is seated at the right hand of the Father,
and he will come to judge the living and the dead."
Then another Christian assertion:
I believe in the Holy Spirit,
the holy catholic Church,
the communion of saints,
the forgiveness of sins,
the resurrection of the body,
and the life everlasting. Amen.
The Arian dispute (which the Creed had hoped to settle) arose because of the interpretation of Christian beliefs through Greek philosophy, rather than the revisions of Greek speculative ideas corrected by Biblical revelation.