All you need to do is play Supreme Decision, the new game over at the O'Connor-endorsed website OurCourts.gov. As the Blog of Legal Times explains:

A hypothetical female swing-vote justice -- hmm, who might that be? -- asks you, the player, to help her reach a decision in a First Amendment case, Ben v. Hamilton Middle School. The dispute involves a student barred from wearing a t-shirt bearing the name of his favorite band, called "Hall of Rejects." After brief arguments on both sides, the swing justice, named Irene Waters, comes out of the Court's conference to seek research help from her law clerk -- that would be you -- on how to decide the case. You then get to listen to mini-debates between justices on each side of the issue, answer questions about their views, and then vote which side to support.