By lying, and getting called out on it.
It's not just Chrysler. A radio ad for Mitt Romney includes General Motors in his campaign's false claims that, because of President Barack Obama, American auto manufacturers will be moving jobs from the U.S. to China, and GM is not happy with Romney:
"At this stage, we're looking at Hubble telescope-length distances between campaign ads and reality. GM's creating jobs in the U.S. and repatriating profits back to this country should be a source of bipartisan pride," GM spokesman Greg Martin said. "We've clearly entered some parallel universe during these last few days. No amount of campaign politics at its cynical worst will diminish our record of creating jobs in the U.S. and repatriating profits back to this country."
False campaign ads telling swing state voters they're going to lose their jobs because of Obama may be a way to scare up some Romney votes. But forcing two giant, high-profile swing state employers to denounce your lies to their workers and the world—going into detail along the way about all the jobs they've created and will continue to create in the U.S.—may just undercut that fear-mongering effort.