Yeah, it's a fun website -- but you could say that about just about any claimed correlation.
Meanwhile, for those who have been around long enough to have a sense for the 'barometric' changes he's talking about -- the shift in the basic, underlying "we're-all-in-this-together" ethos has been not just noticeable, but profound. Probably a lot more work needs to be done to find a solid statistical basis behind this observation (if this is at all possible).
But by and large (aside from the singe n-gram example, which I agree smells like cherry-picking), it's not like his arguments are simply frivolous.