This is a misconception.
Theres no such thing as US rights. Only the rights you have by virtue of being a human being created in the image of God. The Constitution, and by extension the government recognizes those rights, but they are ours regardless of where you were born or where you currently live.
Yup, I have to constantly remind people that the constitution does not give rights. Rather, it protects God given rights. But not all of them. Anything you have the ability to do (e.g. murder, robbery, etc.) is a “God given right”. But those particular rights are not protected by the constitution. God will deal with you regarding making those poor choices. And the state will deal with you to protect the rest of the population.
Gog gives. God. takes away.