How Did Third Eye Blind Get Translated As 心灵蒙蔽合唱团?
I would think it's a mistranslation.  合唱团 means chorus, where 乐队 means band.    As why it's called / translated as "心灵蒙蔽":  


  心灵 - soul / spirit.  As eyes are called windows of the soul, 心灵 is
  used insteads of 眼.  Also see Ampersand's comment for connotations on
  third eye.
  
  蒙蔽 - clouded / covered.  Nothing's wrong here


As the direct translation - 第三只眼失明乐队 doesn't sounds quite right (I laughed reading it), 心灵蒙蔽乐队 might be a more valid translation

EDIT: thanks to leo4jc, "瞎心眼樂隊" is even more catchy