You added too much citric acid to the soap.
Edit: I didn't analyze your recipe in your other thread, so I don't know if you actually used a superfat or not. Need to make these two threads into one, please! End edit.
Anyways, the "snow" is fatty acids created by the soap breaking down in response to too much acid. I suspect you didn't need to neutralize at all.
If you want to fix it, you will have to add some KOH, but please don't blindly add it. Please wait to get some clear advice. And next time, try Irish Lass or Susie's methods of making liquid soap -- NO neutralization!!! -- and I suspect things will go much better.
No-neutralization Liquid Soap Tutorials:
Irish Lass: http://www.soapmakingforum.com/showthread.php?p=428988 see posts 8 and 9
Another good resource is this: