Hmm... it seems that the only associated problems with "overly obsessing" on anime is 1) not being able to communicate with said person and 2) that person believing they are in fact the character (DnD style). Therefore let's apply an insurance test where we compare obsessions and role play as an insurance agent to see who you'd give coverage to.
1st Contestant: Mr. Overly Obsessed with Explosives
Pros: His hefty six figure salary as a demolitions expert and chemist due to his IQ of 165 and degree from MIT.
Cons: Seems to keep mostly to himself and scrawls angry sounding letters about "the singularity." Also there have been"misfires" and "civilian collateral damage"
2nd Contestant: Mr. Overly Obsessed with Dieting
Pros: His enormous self esteem due to "fitting into those jeans from high school."
Cons: Due to his lifetime membership to the vomitorium, his esophogeal lining has completely eroded.
3rd Contestant: Ms. Overly Obsessed with Religion
Pros: She knows where she's going when she dies.
Cons: Unfortunately, she's going there by strapping a bomb around her waist and setting it off.
4th Contestant: Mr. Overly Obsessed with Cocaine
Pros: He went to college.
Cons: His purchasing power is due to the fact he dropped out of college after a semester, spent his tuition money on coke, and crashes with a friend from his old fraternity who unbeknownst to him is sleeping with his girlfriend.
5th Contestant: Ms. Overly Obsessed with Anime
Pros: She's has an amusing command of some Japanese words which are badly mispronounced.
Cons: She thinks she's a magical girl and speaks with the pitch and conviction of a toddler.
Seems pretty benign. And for the record, I find people overly obsessed with football just as socially awkward as people overly obsessed with anime. I have little tolerance for either.
Honestly, I have not really seen anime in my life except for a few instances when I humored my girlfriend by watching Sailor Moon. You can imagine my surprise when I joined this site where 85% of the work involves some sort of fandub for an anime, or abridging an anime. Not saying that's good or bad--just surprising.