No. Get rid of it.
I understand why it might have been considered but I guarantee it will bring nothing but bad things. Short term edification and the solidarity felt by some is not worth it if it causes more friction both on and off site. I believe the welfare of the members of this place should come before anything else and that having an input to so divisive a social media platform will cause, and already is causing division and fear for some members.
Regardless of all that, it's simply an unsound strategic move, giving over uncoordinated tactical control to individuals whose comments off site will be un-moderated. We see how threads often devolve into shit-storm and that's in a moderated environment. What do you think will happen on the vile cesspool of twitter? It's natural that people with passionate views on both sides will get dragged in to argument.
It feels like instead of adopting a considered strategic approach to attack, all tactics are thrown into the wind in an impassioned rush into the field devoid of any tactical thinking.
I reckon it may have exactly the opposite effect to the desired one. It may be ostensibly be an outlet to defend the forums, but is it worth banging that drum if it may makes things worse?
Haven't we seen this sort of thing before?