I find it extremely interesting that people in this thread seem to argue for this combination, yet in previous discussions there was a TON of disagreement. There are a couple of threads about it, and the reason none of them came to a final conclusion was because there really isn't one until GW decides to FAQ it or update the Space Marines codex (again).
Personally, I agree with all of the above. I find that the most support, ruleswise, falls under "yes" to this question, and there are only a few things that the "other side," for lack of a better term, can come up with to make it hazy, but not definitively disallowed.
I'd say go ahead and do it, as the rules (in my eyes), while maybe not clearly allowing it, do not clearly disallow it either and following Shrike's rules, it's not a squeeze to get it to work. If your opponents have issues with it, talk them through some of the points raised here, and if they still don't agree, possibly roll a die to see whose version of the rules apply before the game.