The problem with your Supreme Court theory is that conservative judges are reluctant to overturn established percedent.
No one is going to sanction teaching religion in public schools.
You're using the Arlen Specter definition of a conservative judge, which is a judge who conserves 50 years worth of unconstitutional liberal precedents.
"I think overruling a case or reconsidering a case is a very serious matter. Certainly, you would have to be of the view that a case is incorrectly decided, but I think even that is not adequate. There are some cases that you may not agree with that should not be overruled.-- Judge Clarence Thomas, Senate Confirmation Hearings Sep 10, 1991
Stare decisis provides continuity to our system, it provides predictability, and in our process of case-by-case decision-making, I think it is a very important and critical concept.
A judge that wants to reconsider a case and certainly one who wants to overrule a case has the burden of demonstrating that not only is the case indirect, but that it would be appropriate, in view of stare decisis, to make that additional step of overruling that case."