I cannot believe Americans can even entertain the notion that "anchor" babies are eligible become the President of the United States upon obtaining the age of 35, which is what your interpretation opens us up to. The term "natural born" was included for a reason, otherwise, they would have just said citizen and been done with it.
“rules of naturalization” means not only who is eligible to be naturalized but also includes:
- the process by which such naturalization must take place
- who is not or never can be naturalized
- those who do not need to be naturalized by the circumstances of their birth
- any and all rules