Hi, Marc. I’ve just reviewed the section you reference. My exact words on the video are “The Hebrew faith, which later became known as Judaism . . .” I do not say that modern-day Judaism is the religion of Moses. If you inferred that as my meaning, you are incorrect, and I apologize for not being clearer.
If you watch my lecture on the New Testament, you’ll see that scholars talk about multiple “Judaisms” at the time of the first century. The Talmudic Judaism you talk about in your post is one particular strand of Judaism that eventually became dominant after the destruction of the temple in Jerusalem in A.D. 70.