Actually the way that it is written, “the militia” is the reason that “the right of the people to keep and bear arms shall not be infringed.”

Put it another way:

A well balanced breakfast, being necessary to the start of a healthy day, the right of the people to keep and eat food shall not be infringed.

From this it is clear, “a well balanced breakfast” doesn’t have the right to “keep and eat food,” “the people” do, because “breakfast is important.”