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I believe it doesn't work like this; you need the circulatory system in order to perfuse the head, and in doing so the other organs are compromised. This could probably be avoided, but not without more surgical expertise/equipment than today's perfusion teams have, I think.
Oh, because the cryoprotectant is toxic. I forgot about that. I suppose other internal organs apart form the heart could be removed before perfusion starts, but the Alcor people are not qualified to officially do this. All in all it seems like the sort of problem which would be solved if cryonics ever became big enough that it created a sufficient shortage of organs that hospitals actually dedicated some resources to solving the problem.