I am not a fan of Alex Jones but he is not an anti-semite.

In fact I suspect you have it backward. Jones will be intimately aware of (some of) the far left and (some of) far right anti-semite culture - it takes some character to see the big picture and in my personal exhaustive experience with that world most people exposed to those cultures would become anti-semites fast.

Jone's nemesis is altogether more abstract - he sees himself as crusader against a modern meme similar to communism or fascism.