If we developed the ultimate taxonomic system for all reactions to things on the internet... it might be epic, but nobody would ever use it.
"Thumbs Up / Down" is appropriate when you are okay with a learning curve and you can afford to get more data for your ranking (StackOverflow, Slashdot).
"Like", on the other hand is appropriate for high volume sites (Digg, Hacker News), and social sites. It has a far wider (non-jerk) range of applications, even if it doesn't cover your friend's car crash. In those situations where "Like" isn't appropriate, you'll just have to comment instead -- as you should be doing anyway. "Hey, I cared enough to spend half a second pressing a button!" just doesn't cut it.
Google has the most usage and the least average commitment of any of the examples here, so they probably can't afford even the slight complication of "Thumbs Up / Down". They probably won't even show the aggregate of "+1" votes; it'll just figure as a signal into result rankings.
(TIME's ongoing "best feed" twitter showdown is an interesting example. It uses both, but only calculates ranking by "+1" votes. It currently shows Sarah Palin at position 23 of 140, while she only has a 0.14 approval ratio. That is the largest disparity between position and approval in the poll, which tracks Palin's record perfectly.)
The article seems to be using the term "Graphics Turing Test" to mean a test similar in design to the Turing-test, not another test for artificial intelligence. Neither it nor the paper mention artificial intelligence except in defining the Turing-test itself.
Supposing the article did mean "Graphics Turing Test" in terms of AI, it's a ridiculous idea. Physics simulation has nothing to do with intelligence. The only intelligence involved would be in dictating the actions of human (and possibly animal) elements in a way that convinced a third-party observer. And if an AI were capable of passing that, it would be capable of passing the traditional text-only test. It wouldn't mean anything more than the original, in terms of "intelligence".
It isn't easy being the parent of a six-year-old. However, it's a pretty small price to pay for having somebody around the house who understands computers.