Case law doesn’t exist in the United States of America.
You might be thinking about medieval England, or ancient Persia, where a king or judge’s word becomes law.
In the USA, people are judged individually and are equal before the law.
One exception, that is traditional, but not enumerated in law, is that the Supreme Court can strike down a law that it deems unconstitutional, but may not amend or make new laws itself. Lower courts havee Ed no such power.
First, every court of appeal can strike down a law as unconstitutional. The Supreme Court is only special in that there is no further appeal.
Second, case law absolutely determines the interpretation of each text, and each court is mildly bound by its own precendent (via stare decisis), and completely bound by the precedent of superior courts.
Third, there is no tension between these facts and people being judged individually and being equal before the law. The law must (in principle) be applied equally to everyone.