First, Obama does use logical fallacies as well. That's why I said I'd like to see a debate with those two. I didn't say Obama would wipe the floor with him, though I do believe he'd win.
As far as bad arguing... here's one example...
http://politicalhumor.about.com/od/r...aughquotes.htm
"This is no different than what happens at the Skull and Bones initiation...I'm talking about people having a good time, these people, you ever heard of emotional release? You ever heard of the need to blow some steam off?" --on the Abu Ghraib prisoner abuse scandal
That obviously isn't the case, and I'm sure Rush knows it, but he'll use the faulty comparison to rile up his listeners.
Another one is this quote, "The only way to reduce the number of nuclear weapons is to use them."
Statements like that, deliberately dumbed down for the masses, so stupid people can listen to the radio and say, "YEAH!"
(Note: I'm not saying only stupid people listen to Rush. I am saying that the stupid people are listening to dog whistles on his show and jumping in the air. Yes, it happens with liberal shows too.)