No they are not. They are precisely not "the people". They are the government, the elite, the rulers.
Stephen Breyer used the same argument as you to justify his appeal to foreign law and to reject originalism. He was "the people" deciding for all of us.
The Supreme Court did not get this wacky when its members were often chosen from the ranks of retired Senators.
Retired Senators are not the elite (i.e. "non-people")? This is getting wacky...
Anyway, if you interviewed most of the "people" today, they would say that its the Supreme Court's job to decide policy questions such as abortion. Sad, but true. This is why we need somebody who can intelligently articulate the opposite position.