The only right that is stripped is the right to become President or Vice President. That is not anti-American; its the law for everyone.
The requirement was written into the Constitution by the Founders as a measure to make it more difficult for a person with foreign loyalties to have the supreme authority over America.
If you are worried about having the chance for your kid to become president, have the birth in America, this is no new rule and most people learned it in civics class. The risk to America is more important than the strawman argument of depriving someone who delivered unexpectedly.
LOL, then why does a person only have to live in the U.S. for 14 years to be President? The requirements are not as strict as you would like to argue. Certainly the founders intent would never have been to rule out a baby born in another country to a citizen who then came here and lived the rest of his life here. That would be an absurd original intent. That’s why they used the phrase natural-born. In Britain, that phrase covered children born outside of the country to citizens.