Compelling? How compelling? Compelling enough to look at what the other side has to say and compare, or just compelling enough to watch and accept?
A quick google search, on your term "atomically dated fake crescent footage" gave me a link to this forum thread:
http://www.abovetopsecret.com/forum/thread795906/pg1 Seems that there are some people in there giving pretty good counterarguments.
On the first page of that discussion there is even this video, with the instructions to fast forward to around 6:20. Here you see quite clearly similar footage as from the documentary posted, but with a bit of light on you see the frame of the window as well.
[video=youtube;b2QmdVd27q0]http://www.youtube.com/watch?v=b2QmdVd27q0&feature=player_embedded[/video]
As you can see the window is not round, and they are not in any way at the other side of the craft filming it. That was the only hand-waving explanation they gave in the documentary and the entire basis for their 8-10 minutes of speculation and ranting.
So, end of discussion? No, I don't think so. That ridiculously annoying woman and/or whoever wrote her script just lost a lot of credibility. You think that on their anomaly hunting quest they didn't see this? You think they don't know that they are spouting stuff that is completely invalid. Come on, I looked at just a couple of quick excerpts of the earlier parts of the vid you posted and the entire, way too long, 8 minute excerpt posted at that abovetopsecret post. These people are giving out information that has been argued against repeatedly, they know it has, they ignore those arguments and present their points as if nothing happened. They are dishonest. Maybe outright lying, I would not be surprised, but possibly they are just intellectually dishonest and avoiding information that doesn't suit them.
I don't understand why this stuff is compelling to you and I really don't understand how you can give these people any credit at all, however I feel no need to ridicule you. I will only suggest trying a different approach to how you think about these things if you care about your beliefs being true and matching reality.