Is there any artifacts out there for the migration of Israel to America. Many Mormons have this idea from when people wanted to answer where the native americas came from. I have a Paleolithic anthropology degree so not my area lol
Not that I know of. There is some contrary evidence in the the Egyptian text used to "translate" the Mormon document called the Book of Abraham which was purported to be Smith's translation of an Egyptian papyrus, a papyrus later returned to the Mormon church by the Metropolitan Museum in New York. This "translation" was before Egyptian had been deciphered, reduced to grammar and widely taught. Joseph Smith found in the text a story about Abraham, Joseph and an alleged daughter of Pharaoh, but the text is known by Egyptologists to be a copy of the Egyptian Book of the Dead with nothing in it related to the Bible. It looks like Smith just looked at the hieroglyphs and made up a story from his imagination, showing no supernatural ability to translate the text. That native Americans, who have no distinctively Jewish DNA, are descendants from the lost tribes of Israel, also seems unlikely. Though there is no doubt Israelite blood mixed among the peoples of Mesopotamia among which the northern tribes of Israel were deported by Assyria and subsequently assimilated, intermarried and merged, there is no reason to suppose they migrated from Mesopotamia to the Americas.
The lecture is for an Old Testament course so I did not try to discuss New Testament archaeology which would require a complete lecture of its own. We do have an inscription of Pilate, the Ossuary of Caiphas, buidings in Masada and Herodium and Hebron built by Herod, Herod's temple retaining wall (the "wailing wall"), physical evidence of someone who was crucified (man named Jehohanan not Jesus). From there we have ancient, non-Christian extra-biblical writings that speak of Jesus (Josephus, the Talmud, Tacitus, Pliny) that loosely fits into archaeology and the NT.
For Moses, there is no archaeological evidence, though the name Moses is likely Egyptian in the pattern of Thut-Moses and Ah-Moses and Ra-Moses in which "moses" means begotten of (the god Thoth, Ah, Re etc.) so he fits into the name pattern of the day. See my video introduction to Exodus where I discuss further.