if you're obsessed with sth that is very popular at the moment = you're not a geek (you just follow the fad, like a sheep)
if you're obsessed with sth that is NOT (excessively) popular (at the moment) = you may be considered a geek by some people
I'd write a different definition of geekhood. I always put it together with early Sci-Fi shows, like Star Trek, and the likes - modern series: Stargate etc. They all have common thing - the focus on SCIENCE. Star Wars (the original Trilogy) is NOT about the science, it's a western/fairy tale set in space. Therefore:
ST, SG, whatever fans = are geeks
SW fans = are NOT geeks
This is assuming that "geek" means "a weirdo wearing glasses, with 10 pencils, ruler etc. in a pocket, not knowing anything about sport, but able to explain quantum physics to you".
If "geek" means "any kind of weirdo" then THE WORLD IS MADE OF GEEKS.
Class dismissed