I'm no Constitutional scholar like MoDo or President Urkel but, technically speaking, I believe there is a way to override a decision made by this "group of unelected people."
I think a 2/3 majority of The House can negate an S.C. decision.
And, of course, there is always the impeachment process.
Or, am I missing the spirit of this thread?
This is not correct. There is no appeal and no override of a supreme court decision, except possibly via a reversal by a subsequent supreme court.
Once the supreme court declares a law unconstitutional, the only thing congress can do to achieve the goals of that law is to pass a similar law which is different enough so that it is not unconstitutional.
If the supreme court declares the individual mandate unconstitutional, I think coming up with a new 'constitutional' version of the law will be very difficult for congress to achieve; at least without adopting a government controlled health care system set up similarly to 'social security;' (Obama's beloved 'single payer system'). Of course, it's entirely possible that this has been the goal all along.