I have a good friend who is a communist I strongly disagree with. I believe quite-bad things about communism as a philosophy and what it inevitably leads to. As of yet I have not excluded all people who are communists from my life or business interests due to believing their philosophy makes all or them bad people. I can say the same about Christians or Jehovah's Witnesses or Randian libertarians or Kantians.
I strongly disagree with all their ethical worldviews and metaphysics, but I don't automatically believe people are evil in those categories nor believe they would stab me in the back if they could, even it I believe the philosophies in question can lead to more backstabbing behavior.
It's simply discrimination and would morally compromise me to hate any group of people for what they believe. It wouldn't surprise me if also very illegal, especially if you decline to hire someone who identifies as EA.