The attack works on 2 levels:

1) The dust costs a significant amount of its value in transaction fees to spend

2) The amount of transactions can crash a wallet.

https://www.blocktrail.com/BTC/address/1C4Q1RvUb3bzk4aaLVgGccnSnaHYFdESzY

To mitigate this, Voat should use a client that can handle this level of transactions (e.g. Bitcoin Core on a beefy server), AND not try to send all of the balance (as that will create a huge tx).