I believe the consequences of an elected Supreme Court could be disastrous. The freedom to decide cases on their merits and not on public opinion would no longer exist.
The Constitution itself was ratified by the People meeting in convention, and the same method may be used to amend the Constitution. You are in essence arguing that the People are qualified to create and amend the Constitution but are unqualified to determine what they meant when they did so.
This is the same sort of attitude that led to the electoral college and indirect election of the Senate, that said that while men might be qualified to vote, women are not; and perhaps not all men, certainly not those who have dark skin, or don't own property.
