OK, I own several guns. Big shock, I know.
They're across the room in a locked gun cabinet save for ONE that is kept readily accessible for defensive purposes.
Now, let's plant a militant anti-gunner across the street from me. This person believes that I shouldn't own guns AT ALL.
One could easily argue that my safe and responsible ownership of firearms is interfering with that person's "pursuit of happiness" while their radical position of gun ownership interferes with mine.
So, do I hand over my guns or so they pull up their panties?