Republican is a political party, not a ideaology.
Bill Kristol is an Authoritarian, Pro-War, corporatist Republican that does not share much in way of ideology with many social conservatives in the Political party.
Bill Kristol is the type of Republican that turned me away from the Republican party
Bill Kristol is closer in political alignment with the Authoritarian Left, than he is with the Libertarian right which is why he is allowed to stay on Twitter.
Twitter is for Authoritarians / Totalitarians
The problem with Parker and Gab is that they are only for the problem users. In fact, in an interview with Kara Swisher the CEO said that they have panels of volunteers that judge whether a post should be removed. The blind leading the blind.