Slightly off-kilter, but...
Well, all I did was read the wiki article so I can't say I know much about dadaism, but ya, if it's hostile to reason and logic it sounds pretty contrary to my personal worldview.
Gosh, and here I thought oldschool modernists/positivists were more or less extinct
Not to take the discussion there, but if science and philosophy are increasingly considering reason and logic in the classical suspicious projections of human physiology rather than 'things as they are', you gotta wonder about art... Weird/counter-logical/post-modern art is a great tool for deconstruction, which in the end is just a cool way for thinking differently and testing limits of logic in a mostly harmless way. Deconstructive AMVs are awesome in that, although they're probably not the greatest example.
And back to topic, I wouldn't really consider this an especially deconstructive AMV either, just a fairly creative and interestingly conceptualized one.