Well no doubt the Jewish people have the ark somewhere, let alone all sorts of other wonderful stuff, and to "tout them" would be folly as they would no doubt be killed for them. If Jesus had not been a descendant of David's, yes, the hue and cry would still be resounding. As it is, some people still disbelieve that a priest can come from the tribe of Judah
Records of the corroboration are found in Matthew 1 and Luke 3. Though being published now for untold years, no Jewish scholars have come forward to debunk them