Nah. No reason to change it. I'm confident that our Constitution does not differentiate between "first-class" Americans and "second-class" Americans.
‘First class Americans’ and ‘second class Americans’ are your words. If I marry a foreigner, and have children, I cannot expect my children to be eligible for the Presidency (as I understand the Founders’ intention.) Now, if I want my children to have a chance at becoming the President, then, I had better marry a US citizen, or, effect a change in the Constitution by way of an Amendment.