Maine 2012 official election returns separate out the absentee votes received from outside the United States. The results show that overseas voters (which, of course, includes many military personnel) are more likely to vote for a minor party presidential candidate than the average Maine voter.

Gary Johnson, Jill Stein, Rocky Anderson, and even the slate of presidential electors pledged to Ron Paul, all received a higher percentage of the overseas vote than they did in any Maine county (Rocky Anderson, like Ron Paul, was not on the ballot so this refers to his write-ins). President Obama also did far better among the overseas voters than he did in any Maine county, running ten percentage points higher among overseas voters than among Maine voters as a whole.