Mike Leavitt's Arguing School, Lesson 1: When confronted with a convincing counterargument, simply pretend you didn't hear it and repeat your initial point. Over and over and over. (And don't bother to cut him off, George!)

In Leavitt's defense, I don't think there's really any way to make the "the President vetoed the SCHIP bill to help the children" argument not sound ridiculous.