Hostility towards LW/Eliezer doesn't have any more to do with a general hostility to rationality than does hostility towards Objectivism/Ayn Rand.

Eliezer's treatment of topics like cryonics, friendly AI, transhumanism, and the many world interpretation of quantum mechanics are more than enough to fuel a debate, even if one agrees that rationality is a worthwhile aspiration. People can disagree with you without being enemies of truth or logic.