Born here of citizen parents = natural born citizen
No possiblity of being anything but a US citizen
Born here of foreign national parent(s) = citizen, with additional citizenship(s) possible, not natural born citizen
Born abroad of American parent(s) = citizen by operation of naturalization laws, additional citizenship(s) possible, not natural born citizen
Obama was born a British subject, he is what the founders were guarding against with the requirement
Ted Cruz is a great conservative Senator, unfortunately he is not a natural born citizen and is ineligble for President as the Constitution was written
If we accept the new definition as simply born a citizen, then we will be making every anchor baby and Winston Churchill eligible.