Well actually if an amendment to change the requirement of the birthplace of a person to be eligible to be POTUS came up these days, it probably would gather a bit of steam, thanks to increases in immigration. Whether it would PASS, that's another question. I won't speculate there - but it's not the first time people have grumbled about an immigrant they'd like to run for that office and couldn't, because they weren't born within the USA (for example Carl Schurz, senator from MO, born in Germany).