Gov. Rick Perry of Texas favors term limits for Supreme Court justices. Representatives Michele Bachmann of Minnesota and Ron Paul of Texas say they would forbid the court from deciding cases concerning same-sex marriage. Newt Gingrich, the former House speaker, and former Senator Rick Santorum of Pennsylvania want to abolish the United States Court of Appeals for the Ninth Circuit, calling it a “rogue” court that is “consistently radical.”

Criticism of “activist judges” and of particular Supreme Court decisions has long been a staple of political campaigns. But the new attacks, coming from most of the Republican candidates, are raising broader questions about how the legal system might be reshaped if one of them is elected to the White House next year.