Basically, if Mexico agrees to pay for a giant wall on its border with the U.S., the U.S. will then benevolently allow Mexican immigrants to send their money out of the country. (It is important to note that Trump has no problem with rich white men like himself pouring money into offshore accounts to avoid paying taxes.) Trump's solution to illegal immigration is to play the part of the world's least competent mafia boss: He asks for protection money to get what he wants without offering protection to his victims. Something tells us he'll definitely get that wall from Mexico if he wins.
The point is that if your eyes are trained on Cruz and Trump, a very clear message comes out of the Republican party: Get illegal aliens out of America.
But Actually:
Much like undocumented immigrants themselves, Republicans are all over the map when it comes to immigration reform. Donald Trump's plan is so far out of the mainstream of traditional GOP policy that he is an extremist in his own party.
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Though any description of him as such just pushes his numbers higher.
For context, the last time a major illegal immigration law hit the books was 1986. Back in those days, a Democrat and a Republican joined forces under Ronald Reagan to pass the Immigration Reform and Control Act. Thanks to that law, almost three million undocumented immigrants were granted amnesty and became U.S. citizens. The same Ronald Reagan whom hardline Republicans like Ted Cruz treat like royalty naturalized three million immigrants, presumably while wearing Reeboks and walking like an Egyptian.