The Supreme Court as an institution would be a big winner if presidential candidates had to win the national popular vote in order to prevail in the Electoral College. Why? Because the majority of people in the country prefer relatively non-partisan moderate judges who do not have an aggressively liberal or conservative philosophy. And the less political the Court appears to be, the greater the respect and approval it obtains from the populace.
But I am a graduate of Yale Law so take this comment with lots of salt.