The picture that's hanging on the wall at the "stupidest date award" is the 44th Vice President, Dan Quayle.
The high IQ group "Alpha" referenced in the show is a tv version of the real life group Mensa International (or just Mensa) which is the largest, oldest and most famous high-IQ group of people in the world. Requirements to belong to Mensa are score at the 98th percentile or higher on a standardized, supervised intelligence test. In many cases the IQ you have to have to join is 130
This episode was taped on February 21, 1992.