http://www.newsweek.com/alex-jones-and-infowars-have-not-broken-any-twitter-rules-spokesperson-says-1059478

Twitter will not imminently ban Infowars host Alex Jones from its platform and streaming service Periscope because the talk show host is not currently in violation of any rules. 

A spokesperson told Newsweek that Infowars and its associated accounts may still be hit with restrictions if found to be breaking its policies in the future. But the company said Infowars content posted to rival social media websites does not always find its way to Twitter users.