Many people believe that we should not be friends with others if they have bad enough moral and political beliefs. For instance, they think that we should not befriend KKK members or Nazis. However, not all errors in moral and political belief disqualify people from friendship. If so, then there is some line to be drawn somewhere which indicates when a person's beliefs are bad enough that we should not befriend them. This paper considers many candidate proposals for how and why to draw the line, including that beliefs might be extreme, be held irrationally, dehumanize others, are unreasonable, and more. However, upon inspection, each candidate proposal fails. They either provide the wrong kind of reason to reject people as friends, or they fail to explain what counts as ‘bad enough’ beliefs. There are various arguments in favour of rejecting people from friendship on the basis of their bad beliefs, but these arguments also fail to explain what counts as ‘bad enough’. Thus, this paper concludes there is a genuine puzzle: we should indeed blackball some people from friendship when their beliefs are bad enough, but we do not have even a rough specification of what counts as bad enough.