From an April 30 Washington Post article headlined "Poll affirms a vote for judicial know-how":

A Washington Post-ABC News poll shows that judicial experience is the most valued quality among a list of professional and personal characteristics. Seven in 10 say service as a judge is a positive quality for a Supreme Court nominee, while only 5 percent see it as a negative. In contrast, 35 percent view experience outside the legal world as a positive.

Overall, two-thirds of Americans say they are comfortable with Obama selecting the nation's next justice, including nearly a third of Republicans. That is comparable with a Fox News poll conducted last May before the president chose Sonia Sotomayor to be his first nominee to the court.

[...]

On Roe v. Wade, the decision that legalized abortion, six in 10 want the next justice to vote to uphold Roe, while 38 percent say it should be overturned. Although the share in favor of upholding the ruling has held about even, the number in favor of overturning it is the highest in Post-ABC polling since 2005, with the increase spurred largely by a shift among Republicans.

Six in 10 Republicans say it should be overturned, trending up from 54 percent who said last year that Sotomayor should vote that way and about half who shared that view when Roberts and Justice Samuel A. Alito Jr. were nominated in 2005.