ORION TOWNSHIP, Mich. — President Obama arrives here on Friday on another visit to Michigan, seeking not only the electoral votes that are essential to his re-election effort, but a platform for a far bigger message.

He has returned again and again, nine times since taking office, to argue that his decision to bail out two of the Big Three automakers helped workers here and across the industrial Midwest. He has offered up a rebuttal to criticism about the value of government intervention.

The president’s path to a second term is built around winning a wide swath of states, including many with close ties to the auto industry. They are home to some of his biggest political and substantive challenges, including a depressed economy, a disenchanted middle class and a disdain for government highlighted by the Tea Party movement.

A handful of states he carried in 2008 could slip away, but Democrats believe Mr. Obama cannot lose Michigan, fearing that other states will be even harder to hold. Shifting demographics and deep economic burdens have snapped the Democratic Party’s recent hold on the state and given Republicans confidence that Michigan is again one of the country’s most fiercely competitive battlegrounds.