According to a recent study by political scientists, the Supreme Court has tilted heavily to the conservative right since Chief Justice Roberts joined the Court five years ago. The study also seems to indicate that the additions of Justices Sonia Sotomayor and Elena Kagan will have little effect on the tilt towards the right.
At the same time, the studies also seem to indicate the "tilt" is more of a lean—the Court has not made radical shift. But if recent decisions are any indication, there could be a steady progression in certain areas. For one, the current Court seems to allow more of public role for religion, may have an expansive view of the Second Amendment, and now allows unions and corporations to play a bigger role in elections.
Court Under Roberts Is Most Conservative in Decades | The New York Times