Should a President's Character Matter?

Here is a link to a 2012 Republican debate.

The candidates are discussing how much weight we should put on a presidential candidate's character.  This is largely in reaction to the public's questioning of Newt Gingrich's character (in light of his affairs).

I am using this as a lead in to my discussion of Bill Clinton.  My objective is to have students use evidence to support an argument for Clinton's presidency as a success and for Clinton's presidency as a failure.