I, too believed in “dispensations†for years, but only because it was pounded into my head since Sunday School. But after intense study with opened eyes, I found this doctrine to be man-made and Scripture does not support it.
The answer to the “elementary questionâ€: Moses and the Prophets are speaking to both “Old Testament Jews†and “New Testament Christians†because we are the same people… the commonwealth of Israel. Moses specifically states that he is not speaking ONLY to the people standing before him that day, but ALSO to a specific generation upon whom the End of the Ages have come…. And that would be US. We see many things happening in our lifetime that the Prophets foretold would happen, and so they too, are speaking to us.