Actually, per a snopes article (http://www.snopes.com/donald-drumpf), the Drumpf to Trump transition may have occurred because the former was more German sounding, and there was a good bit of anti-german hatred at the time.
This is what all the anti-immigration people don't get. Chances are, when their ancestors came to this country they likely weren't wanted by the current residents. Basically every American racial/cultural slur you can think of arose during the time when that group was the majority immigrant group. Every group was discriminated against (Irish, Germans, Italians, Chinese/Japanese).
So what? America's history is overwhelmingly white and Christian. The vast majority of immigration to the US has been from white, Christian nations, even more so at the time when the Statue of Liberty was erected. Is the US a nation of Yemeni immigrants? It's silly to simply treat all potential immigrants as if they are the same. Also, it's disingenuous to reference the Statue of Liberty as some kind of justification for unlimited immigration from all nations of the world. The USA is not a dumping ground for the world's poor.
“Give me your tired, your poor,
Your huddled masses yearning to breathe free,
The wretched refuse of your teeming shore.
Send these, the homeless, tempest-tossed to me,
I lift my lamp beside the golden door!”
You can make your immigration policy tighter for residency/naturalization, it's within country's right, but tying that to where people are born is pretty sad.