Pew Research Center dug back in its archives for its surveys of American preferences on some of the most pressing issues on immigration this election season. Guess what? The Donald is on the wrong side of basically every immigration issue. Stay or deport? In a Pew Research Center survey conducted in May, a solid majority (72%) of Americans – including 80% of Democrats, 76% of independents and 56% of Republicans – say undocumented immigrants currently living in the U.S.