Correct. Analogous to a Militia.
"Your claim is equivalent to mandating that only government can open or run a library."
Mandating? No. Private individuals could open a library.
But my amendment only protects the right to keep and read books associated with those libraries organized, stocked, and run by the state.
And people who choose to write books in the privacy of their own homes could be subject to arrest and conviction despite the assurance that "the right of the people to keep and read books shall not be infringed".
Well-stocked libraries are going to do real well under your system of governance.