I don't necessarily agree with either Rush's or Hannity's point of view, but Rush is far more entertaining to listen to. Rush has found a way to bring his DJ personality from a music format to a talk format. That's what makes his show work. Generally he's in a very good mood and that comes across in his delivery. You can tell from listening to Rush, he is enjoying himself. He's created a personal that is generally likeable, even if you don't buy in to his political beliefs.
Hannity, on the other hand, is always angry. He spends way too much time promoting his concerts and public appearances, or discussing a previous appearance, essentially an extra long winded commercial promoting himself or patting himself on the back for some thing he's done. Hannity tends to be rude to guests or callers who disagree with them, as he interrupts them asking loaded questions that he insists they answer or he ends the call rather than allowing the person to first make their point and then ask the loaded question. Frankly it's a frustrating thing to listen to. It's almost like Hannity is affraid that the guest or caller will actually make a good point that he can't dispute.
Rush, on the other hand, is generally nice to liberals who call in, and quite often will give them extra time to express their point of view, and Rush will ask probing questions to try to better bring out the persons point of view before he nicely disagrees and presents his point of view.
Rush will discuss football, global warming, feminist's updates, animal rights updates, the musical parody's, etc and other issues besides politics, which makes his show far more interesting and very entertaining. Even though I don't agree with him quite often I'll listen to his show far more often than I do Hannity's. A little bit of Hannity goes along way. Just like with Michael Savage or Mark Levin (the so called great one), the angry thing gets old fast. There's enough stress in life without having some clown on the radio trying to get you cranked up. Rush makes his point, and there's no doubt about where Rush stands on his positions, but he uses that DJ top 40 personality he had from years ago to make his show light and entertaining. They say you get more flies with sugar than you do with vinegar. Rush is proof of that.