Explain the logistics of a salafi athiest.
It's really up to your interpretation.
A Salafi-Atheist can be an Atheist who believes Salafism to be the only real Islam and all those who don't follow it are unbelievers. There is no room for debate.
Others may believe that Salafi Atheists are those experiencing cognitive dissonance; they believe in Salafism and Atheism at the same time. They believe both are the absolute truth.
A Salafi Atheist could be an Atheist or a Salafi who doesn't believe in Salafism or Atheism at all but sympathizes with either one for whatever reason.
A Salafi Atheist can also be a moderate Muslim or a Sufi or a Christian (somewhere in between)
Or it could mean absolutely nothing and someone refers themselves as one to be unique, like many people's usernames here.
There is no consensus and it's definition is philosophical, sort of like what is the meaning of life?