Without necessarily endorsing the EA-as-religion comparison, I don’t think it’s true that politicians don’t face opposition for their religion. Christians do not face much criticism because they are the majority; some specific denominations do face opposition. In particular, Romney did in fact face significant opposition due to his Mormon religion- see this experiment, and this summary on wikipedia. (It wasn’t a significant factor in the higher-profile 2012 general election because the Obama campaign decided to focus their fire on Romney’s venture capital background.)
Without necessarily endorsing the EA-as-religion comparison, I don’t think it’s true that politicians don’t face opposition for their religion. Christians do not face much criticism because they are the majority; some specific denominations do face opposition. In particular, Romney did in fact face significant opposition due to his Mormon religion- see this experiment, and this summary on wikipedia. (It wasn’t a significant factor in the higher-profile 2012 general election because the Obama campaign decided to focus their fire on Romney’s venture capital background.)