Yeah, this might work. I would add that in order to bring all houses together, this faction should try (by any means) to install their members as leaders of the houses; or at least supporters of their cause.
Because everyone wants to boss around and no one would willingly give up their position in order to "unite" under one leadership, unless it shares your vision.
Of course, this will never happen, but role playing your attempts to do it will be one of the actions this faction would take part to.
![[Image: ZZ0gBOD.png]](https://i.imgur.com/ZZ0gBOD.png)