Like Damepourvous I will be unable to attend (again!), though the topic is very interesting.
The hint of an answer (on "Why be a liberal or conservative") is provided in Mill's On Liberty, where he states his judgment that a good society should especially strive to cultivate intellectual (and, by implication, political & aesthetic)"many-sidedness". I'm doubtful that many conservatives -- sensitive as they are to human proneness to folly--would agree that this quality is worthy of widespread promotion.
Have a good discussion.