New from Pew Research Center: As debates over abortion continue in states around the country, a majority of Americans (61%) continue to say that abortion should be legal in all (27%) or most (34%) cases. The new survey by Pew Research Center also finds little support for overturning Roe v. Wade, the landmark Supreme Court decision that established a woman’s right to an abortion: Seven-in-ten say they do not want to see the Roe v. Wade decision completely overturned.