You can believe in so-called natural rights as much as you like, that doesn't make them any more real. In fact you can set aside the concept entirely; all so-called "rights" are mere artificial constructs of hierarchical societies. You have the privilege to do whatever your particular society permits. You can call these rights, but they're certainly not natural.

(Meanwhile, I live in a society with absolutely no gun rights, and I'm extremely glad that I do. I much prefer my "right" to live in a city where guns are difficult an expensive for criminals to procure. It keeps me and my family much safer than your gun rights. And that's not an opinion, it's a proven indisputable fact.)