It seems that normal transactions are not affected and the miners earn extra "dust" for their work.
But those dusts fill my hard disk space and bandwidth.
If you are afraid about it filling your HDD space, use a SPV client instead, or buy a bigger hard disk. This would be much more relevant if there is a sudden mass adoption, block size would grow bigger. Bandwidth wise, there isn't much to do. To prevent your node from relaying too much dust, you can limit the amount of free transaction and minimum fee.
Normal transactions can be affected depending on what the fee is. Most transaction with fee of 0.0001BTC/KB could go through easily while 0.00001BTC/KB may be affected as they are ranked at the bottom.
