Agree.
Do you think the Second Amendment also applies to State and local governments?
Excellent question. One that the Bill of Rights mentions in the 10th Amendment.
The powers not delegated to the United States by the Constitution, nor prohibited by it to the states, are reserved to the states respectively, or to the people.
Each State's own Constitution (or I should say, the majority of the States) contains a clause similiar to the Federal Bill of Rights. Some are even more permissive.