This is the issue. If a case came up claiming that the supreme court may be able to override all other rulings we would read the constitution.
Section 1. The judicial Power of the United States, shall be vested in one supreme Court, and in such inferior Courts as the Congress may from time to time ordain and establish....
Section 2. The Judicial Power shall extend to all Cases, in Law and Equity, arising under this Constitution,...
So if the people means individual than Shall must be defined just like it is in the quoted text. Or else the judicial power of the Supreme court can be limited in its power over lower courts.
If and individual has the right to own a gun than the right cannot be infringed or else every other mention using the word shall must be brought into question.