The arguments that the 16th amendment wasn't properly ratified don't hold. It's always a good idea to check the factual accuracy of what such videos present.
http://en.wikipedia.org/wiki/Tax_protester_constitutional_arguments#Sixteenth_Amendment_ratification_arguments
I'm watching the second video now (I'd seen the first one before).
Anyway, it's a shame that so few Americans seem to be aware of the true status quo. When you look at the facts, both past and present, you find many blatant contradictions, lies, betrayals of purported values etc. Although I'm sure that many individuals in government and the upper echelons of corporate America truly believe in the founding principles of the nation and the things for which America claims to stand, many more do not. History shows that America has been audaciously hypocritical in many matters.
That said, only the people at the top are in a position to see the way the world really works. Moral principles etc can often be directly antagonistic to the best interests of the nation etc. Sometimes someone has to do the dirty work to protect what others value, even if they have to betray it themselves. Still though, I truly believe that a lot of what goes on behind the scenes serves no other purpose than the interests of a select few.
The problem with democracy is that people are, in general, too indifferent and/or ignorant to ensure that it works.