No it doesn't, it protects a right of the people. The right of the people is protected because a well-regulated militia is necessary ... , but the right is "of the people" and not the militia.
You are correct. I'm getting lazy.
The point I was making was that, "The second amendment only protects the right of the people to keep and bear arms as part of a well regulated Militia, not the right of the people to keep and bear arms as part of an unorganized militia."
The right of the people to keep and bear arms as part of an unorganized militia is protected by each state.