Not sure what another visit to the moon is supposed to accomplish. If there's a specific reason for it then maybe, if it's a vanity project then we'd be better off putting the money towards something more useful. I'm sure there's a tinpot banana regime somewhere in the world that could be bombed, or something.
The people that believe NASA will believe regardless, the people who don't believe won't believe regardless. Pictures and even video are so easily faked these days, especially if you've got the kind of budget that a national-scale organisation has, it's hard to see how anyone is expected to be convinced of something by a video.