Doesn't Ezekiel 37 predict the Book of Mormon?
No. Ezekiel explains his own sign a few verses later: the two sticks are the two kingdoms of Israel, Judah and Joseph (Ephraim), reunited as one nation under one king.
Latter-day Saints read the stick of Judah as the Bible and the stick of Joseph as the Book of Mormon. But Ezekiel tells us what the sign means: God will take the children of Israel from among the nations, bring them into their own land and make them one nation, never again divided into two kingdoms. The sticks are kingdoms, not books.
19tell them, ‘The Lord Yahweh says: “Behold, I will take the stick of Joseph, which is in the hand of Ephraim, and the tribes of Israel his companions; and I will put them with it, with the stick of Judah, and make them one stick, and they will be one in my hand.
Ezekiel 37:19 (WEB) · context
21Say to them, ‘The Lord Yahweh says: “Behold, I will take the children of Israel from among the nations where they have gone, and will gather them on every side, and bring them into their own land. 22I will make them one nation in the land, on the mountains of Israel. One king will be king to them all. They will no longer be two nations. They won’t be divided into two kingdoms any more at all.
Ezekiel 37:21-22 (WEB) · context