I wonder what's the average IQ of the WL community?
No idea about the community as a whole really, but for top players, I'm claiming it's probably around 120.
As a reference, I'm doing a PhD in Statistical Data-Analysis and I feel that most top players are (on average) of a somewhat similar intelligence as me (again as a reference: I don't know and don't care about my own IQ, but based on my background and what I'm able and not able to do, it should be somewhere in the 120-150 range). I don't know people close enough to really guess at an individual level, but based on technical discussions with some of them, I'm pretty sure 130+ is probably not exceptional.
A higher IQ doesn't necessarily make you a better player. People with extremely high IQ's are often autistic and will not be able to always understand other player's style or thought processes, especially when radically different from theirs and lose games by simply optimizing their own tactic, but not taking into account the variability that an opponent may display.
Also note that IQ is an artificial construct trying to measure something that is not easily measured. As with so many things, it's not only how large it is that matters, but especially how you use it. Someone can be very intelligent and still behave like a moron while someone of average intelligence can really seem more intelligent by using his/her capacities to the fullest.