This is my take, for what it is worth.
What I see after her mouth passes the silver frame is “what they do for their (or that) flag.” [Notice the number of times her tongue touches her upper teeth.] I can’t tell what proceeded these words, but it is a short utterance because it is spoken after her mouth is behind the silver frame and has been uttered by the time her mouth emerges from the silver frame. Words like “unbelievable” or “It’s somethin’” or “amazing” would fit the time frame. I’m guessing either:
It’s something what they do for their flag.
or
Unbelievable what they do for their flag.
or
Amazing what they do for their flag.
I don’t really think “I can’t believe” would fit, time wise, in the phrase.
Eye movement around the outside corners of the eye is key, and it is hard not to think there is some lack of emotional connection, but Michelle’s face has such strong anger lines, it’s hard to see past them. He seems more telling in his eye movement, and there does seem to be a hint at some type of “isn’t that pitiful” thought.
That’s my take, as lacking in value as it is. LOL!
There are too many syllables in your last two examples. There's a reason why many people think she's saying "all this for a flag." Because it fits. I'm not saying I agree with that, but it certainly fits the rhythm and facial motions of whatever she is saying.
There's a five beat rhythm there, or syllables if you will, that is visible after she clears the obstruction. The problem is, she actually starts talking while her face is obscured by whatever the obstruction is between her and the camera.
What makes the interpretation difficult, is context of setting (ceremonial) which means she's not speaking at a normal volume. She leans in to him and slightly whispers, and that will reduce facial motion. Add to this that Michelle Obama's facial dynamics are a little stiff anyway, and you have the potential for a very difficult interpretation.
I disagree with you that her tongue is visible. I can't see it at all. which makes words like "the" and "a" virtually identical from our point of view. Without seeing her tongue, many words that may not sound alike, may look similar in facial dynamics...that is the movement of the jaw and lips primarily.
Then you have the problem of separating the rhythm, or syllables, into words. 'All this" could just as easily be "reverence," wherein she speaks it like most people do as two syllables. You may think it doesn't fit because of different tongue dynamics, but your facial motion is similar, and that's all we can really see.
The way she shakes her head from side to side could be indicative of either disgust, or awe, and it doesn't look to me like she "rolls her eyes," as some people have commented. I just don't see it. If you're inclined to think she said something negative, then you'll intepret it as disgust.
Her husband's reaction is obviously one of agreement, but since he doesn't engage her, it is an agreeement of something that is obvious, at least to them two, and quite possibly everyone else, which is why I think people should tread very carefully here because the obvious sentiment that presides there is one of reverence.