There's a variety of choices in terms of solving "nothing at stake". Bitshare's DPoS system being one of them.
If Bitshares are going to give a fair % (> 50%) for all holders of BTC from a given snapshot then I'd support it but I somehow doubt they are going to do that.
Why would they do that? how is that even fair?
Why are we discussing distribution at all here, since I'm trying to gain support for fading out PoW in Bitcoin, and Bitcoin does not need re-distribution.