Indeed, Sibyl and Hystaspes foretold that all corruptible things are to be destroyed by fire. And the so-called Stoic philosophers teach that even God is to be transformed into fire, and they claim that after this evolution the world is to be made over again. We, on the contrary, believe that God, the Maker of all things, is superior to changeable things. If, therefore, we agree on some points with your honored poets and philosophers, and on other points offer a more complete and supernatural teaching, and if we alone produce proof of our statements, why are we unjustly hated beyond all others? When we say that God created and arranged all things in this world, we seem to repeat the teaching of Plato; when we announce a final conflagration, we utter the doctrine of the Stoics; and when we assert that the souls of the wicked, living after death, will be sensibly punished, and that the souls of the good, freed from punishment, will live happily, we believe the same things as your poets and philosophers.
Justin Martyr, Apology 20 (CUA Fathers of the Church translation)
In practical terms Christianity was a Greek revision of Judaism. As it developed it's own identity and momentum it sought to definitively differentiate itself from either rootstock, as Justin does in Apology excerpted above.
I posted the opening comments from Clement as a rather progressive thought. The same God.