You're thinking of Philo of Alexandria, but his writings had no influence on the Bible itself, and of course he wasn't from the Holy Land anyway. He was much more influential on later Christian authors such as Clement and Origen who were also taking ideas from contemporary Platonists.
I don't know about that. They would have been different, certainly. But while there is indeed hellenistic influence in parts of the Bible (e.g. the deuterocanonical book of Wisdom) I'm not convinced there's a great deal. Christianity as we know it certainly incorporates a great deal of Greek philosophy, mostly Platonism of one kind or another, but it needn't have done so, and indeed the Middle Eastern churches such as the Church of the East never did particularly much.
There's a case for saying that both Christianity and rabbinic (modern) Judaism were responses to the First Jewish War: the destruction of the Temple in 70 CE forced the end of Judaism as people had known it before, which revolved around the Temple, and encouraged the development of what were effectively two new religions, one of which was more consciously Jewish than the other. That's just one way of looking at it, though, and I don't know nearly enough about Judaism to say any more.