To misrepresent one's own beliefs (political or otherwise) for the purpose of self gain. The term originates from the appointment of Justice David Souter to the Supreme Court by Republican President George H. W. Bush. Although a self-proclaimed conservative himself, Souter soon after revealed himself to be a liberal. Therefore, the verb "souter" or to be "soutered" means most nearly the act of expressing views other than one's own for the purpose of furthering one's own cause.
Dude, that PETA operative doesn't actually like hamburgers! He only came to my barbecue to sabotage my patties. I was totally soutered.
Roger isn't actually a Republican. He just soutered us so he could spy on our campaign rally!
'Joe Millionaire' is a show where a bunch of dumb broads get soutered by a bachelor who isn't actually wealthy.