Wrong. Art 6 Para 2 clearly states, “laws of any State to the contrary notwithstanding”.
Ie; “Shall not be infringed” applies to them as well via the Supremacy clause.
Heller decision by the SCOTUS bears this out.
” It is entirely up to each State to determine how much it wants to allow weaponry access to any potential militia members.”
And the Empire State was in such a hurry to infringe on a right that “shall not be infringed” that it forgot to give its own armed agents a pass.