Mind versus Heart - are they in conflict?

Facts versus Intuition, are they at odds? Are they mutually exclusive? In our politics weve seen that science has been blocked, discredited and ignored. We have a President who ignores factual information in favor of his gut or intuitive beliefs. His base has attributed almost holy reverence to his gut and intuitive beliefs that are the underpinnings of his leadership. How does facts and intuition compare and work together. Serious thinkers and feelers have to listen to this show!