I remember the revolt against Bush when he proposed amnesty, we need that again
I'm not alarmed by those words nor the intent of a politician voicing those words.
I will be alarmed if those words mean abandoning the established path to citizenship (marriage or other, pay the "fees" wait, fill out papers, pay the "fees", wait, etc.) and less than desireable for the social/political health of the united States people are allowed to "become" citizens.