The Logic of one who discounts, devalues or "hates on" an individual, organization or group based on one specific idea, perspective or initiative they disagree with. This is true as well in the notion that one joins, subscribes to or believes in a group, organization or individual based on a single idea or perspective they permeate. Another example is taking one thing said using it to insinuate lies and alternative perspectives loosely based around this single comment.
i.e. The logic of an idiot. - Idiot logic - "idiotlogy".
Rush Limbaugh's idiot-logy is that liberals don't believe in God because they support abortions