I have the quest, I'm level 40 light 372, I have all 4 shaders and 3 emblems but I was missing my class item so I went a bought one from DEAD ORBIT. But as it turns out you have to have a dead orbit class item given to you from a package.
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Hello LegitRedButton, In order to progress in the quest, please equip a Year 2 or Spektar class armor. This resolution is among the [url=https://www.bungie.net/en/Forums/Post/213318340?sort=0&page=0]Rise of Iron Launch and Known Issues Thread[/url] from Bungie. I hope that this clears up your question.