Should the presidential requirement of being a "natural-born citizen" be removed?
There aren't many requirements to be President. 35 years old. Resident of the US for Preceding 14 years. Not from the same state as the VP. That's about it.
You can be a felon and be the President. You can be a plumber. You can be a former Private, or not in the military at all.
So that said, who are we excluding? Do the rules really need to change? And if they do, use the Amendment process.
The last thing the Framers wanted in 1800~ was someone becoming a Naturalized and changing things. They wanted "Americans."
And if you really wanted to extrapolate, you could exclude certain religions as well for fear of "outside influence". Some folks used this logic to try to exclude JFK from running, since he was Catholic, and they feared the Pope could unduly influence him.
As for JFK, there's a reason we have the No Religious Test clause as well, though. The Framer's couldn't think of everything... but they did think of a lot.
Wait, I hear you cry. But we had slavery. Women didn't have the right to vote. Etc. Etc. Etc. However, none of those things were created by the Constitution. They were cultural flaws that were all handled without altering the Constitution. Yes, we added amendments to free the slaves, but those were passed after the fact (the slaves were freed by a great war, not by an act of Congress or even a presidential declaration. Those things were simple acknowledgements of what was true).
Thus, I'm not inclined to support changing the Constitution for any purpose. Just read it and learn what's there before you go messing with it. I dare say that those who are be loudest advocates for changing the Constitution are among the most ignorant of it.
For those of you still serving, keep in mind your oath to preserve, protect, and defend the Constitution. You may find it interesting that many among the ranks of those who have served before you and now honorably discharge, veterans, still feel compelled to honor that oath. You too hopefully will feel the same one day. Trust me, it's really worth fighting for. If you're not sure, get educated before you fight to change it.
Allow me to recommend these free on line courses, especailly Constitution 101 and The Federalist Papers. They're a good beginning...
http://online.hillsdale.edu/dashboard/courses
Course List - Hillsdale College Online Courses
C.S. Lewis was the greatest Christian apologist of the twentieth century. He was also the author of works of fiction, including the Chronicles of Narnia, and of philosophy, including The Abolition of Man. This course will consider Lewis’s apologetics and his fiction, as well as his philosophical and literary writings, and their continuing significance today.
http://oyc.yale.edu/classics/clcv-205
"These are the days of miracle and wonder" (Paul Simon)
Open Yale Courses | Introduction to Ancient Greek History
This is an introductory course in Greek history tracing the development of Greek civilization as manifested in political, intellectual, and creative achievements from the Bronze Age to the end of the classical period. Students read original sources in translation as well as the works of modern scholars.