Let's not confuse the issue of a god given right to protect yourself, and the priviliges of citizenship.
And there is some discussion that felons shouldn't be disbarred from owning firearms, especially non-violent ones. I believe that there was some legal issues over denying a felon the right to vote as well, based on the same concept. If you do your time you have fulfilled your debt to society.
As for illegal aliens having the right to own or possess the firearm, I disagree with the concept. The right to self defense is afforded to everyone. Now, that being said, possessing a firearm during the commission of a crime is illegal most places. So, mearly by being in the country illegally you are committing a crime......