“Christians would do well to remember the faithfulness of God to the Jews on that first Chanukah.”
The part about the faithfulness of God is true, which is what makes the celebration of Christmas possible, not Chanukah, which is merely a recognition and response to the act of faithfulness. He seeks to exalt the response (Chanukah) over the act.
He could have just as well said that the act of Moses raising his arms to part the waters of the Red Sea is what made Christmas possible.
And the irony, the whole biblical source for the feast of the Book of Maccabees, which Jews and protestants don't even consider to be sacred scripture or biblical canon. Specifically, the festival of Hanukkah is instituted by Judas Maccabeus and his brothers in 1 Maccabees 4:59. Since they consider that book and the events recorded in it to be non-canon, celebrating Hanukkah is "unbiblical" by their own standards.
Basically, anyone who tries to argue that Hanukkah is super duper important and more Christians should acknowledge and care about it, is unintentionally making the case that Jews and protestants should adhere to the bible canon that Catholics and Orthodox Christians use. Without it, Hanukkah is just another extra-biblical tradition.