@Zelnik: It's not about hate. I had a GK army before. I just don't see GKs meriting a Battle Barge. Strike Cruisers would be enough to transport the whole kit and kaboodle anywhere they're needed. They never had a Battle Barge when they were created so they wouldn't get hand me downs. The IN fleet which the Inquisition could appropriate is enough if they needed to exterminate a planet. That's just my position. Nothing about hate. If i think based on background they have a dreadnought, hey, I would push for it. But as it is, I just don't think they merit one at this stage.
@lastspartacus: sure there's no risk. There's been defections of true battleships, even moreso with the lesser stuff. From IN to SM Chapters. And you think a ship with psykers even with Sororitas won't defect?