Viacom is based in America, so their products and copyrights fall under American jurisdiction. Also, Google is based in America, making them more susceptible to American law.
As for the rights to violate privacy... there are many ways to interpret this. I'm only going to list two, which are that Youtube has a 'terms of use' (I've never read it, but I'm sure it has some clause in it) and that it is technically an anonymous site where you don't give them your name (or are not forced to)
Purple Monkey Dishwasher
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