I don't know about you guys but I think it would be cool if after you level up the Crota's Bane faction so much that Eris will send you on a quest to get an exotic class item for her faction.
This class item would be pretty much just like the other faction exotic class items with the exotic perk that allows other exotics to be used with a unique perhaps hivish respawn animation. With the difference being that it either increases rep for Vanguard (like standard vanguard class items) or for Crota's Bane.
The respawn animation could be similar to the Sunsinger Fireborn revive except without the wings and with a green glow (of course you may have better ideas on how this would work).
Maybe one of the things you need to do to kill Crota again to gain an item as one of the steps to get the class item.
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Feel free to leave your constructive comments below and if you want to see Bungie do this give this topic a like. :)
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It is kind of hard to lock up Eris so i don't know