The HBO movie “Game Change,” detailing the private anguish and very public failures in the 2008 GOP presidential campaign, may not change many viewers’ minds about the film’s central character, Sarah Palin. But, say some observers, the two-hour docudrama has the potential to affect both the 2012 election and our larger political culture – from the way a vice-presidential candidate is chosen to President Obama’s reelection chances and the way young women view running for political office.