I don't think human interaction in an event precludes divine interaction with the same event. There's a human element in a lot of the biblical miracles.

You're right about Jewish behavior. I wouldn't suggest the Jews were perfect. Even in the old testament, like half the time they're being reprimanded by God in one way or another. I'd suggest they're an important group of God's people and a lot of prophecy surrounds them.

That said, I'm unfamiliar with the problem linking the old and new testament... Unless this problem is Jesus? And if so, there's lots of predictions of a coming Messiah in the old testament. Genesis 49, Isaiah 9, Isaiah 42, and Daniel 9 in combination with Nehemiah 2 even gives us a specific date, which seems to line up pretty on the nose with Jesus' arrival in Jerusalem.

But maybe I'm missing something there, is it Jesus you think doesn't line up between old and new testament, or something else?