But dig deep enough, and there are signs that Virginians have a heart: 75 percent opposed the idea of denying illegal immigrants access to emergency room care. And a solid majority — 58 percent — recoiled at the idea of deporting undocumented workers if it meant forcing them to leave U.S.-born citizen children behind. (That question was somewhat loaded: The Center might have gotten a different answer if it had asked whether people would favor deportation “even if it meant taking their U.S.-born children with them,” as opposed to assuming that the family had to be split up.)