President Donald Trump on Wednesday signed the order to start the Mexico border wall project and is also expected to sign measures targeting US “sanctuary” cities, where local officials refuse to help round up people for deportation.

Stemming immigration was a central plank of Trump's election campaign. His signature policy prescription was to build a wall across the 2,000-mile border between the United States and Mexico.

Some of the border is already fenced, but Trump says a wall is needed to stop illegal immigrants entering from Latin America.

In 2014, there were an estimated 5.8 million unauthorised Mexican migrants in the United States, according to Pew, with fewer arriving each year.

Experts have voiced doubts about whether a wall would actually stem illegal immigration, or if it is worth the billions it would be expected to cost.

But the policy has become a clarion call for the US right and far-right -- the core of Trump's support.

Still, any action from the White House would be piecemeal, diverting only existing funds toward the project. The Republican-controlled Congress would need to supply new money if the wall is to be anywhere near completed, and Trump's party has spent the last decade preaching fiscal prudence.

Furthermore, much of the land needed to build the wall is privately owned, implying lengthy legal proceedings, political blowback, and substantial expropriation payments.

A Morning Consult/Politico poll released Wednesday said 47 per cent of voters support building a wall, with 45pc against.

Make Mexico pay?

Trump again promised “100 percent” to make Mexico pay for the wall Wednesday, something that the Mexican government has repeatedly said it will not do.

“Ultimately it will come out of what's happening with Mexico, we're going to be starting those negotiations relatively soon. And we will be, in a form, reimbursed by Mexico,” he told ABC.

“All it is, is we will be reimbursed at a later date from whatever transaction we'll make from Mexico.”

“I'm just telling you, there will be a payment, it will be in a form, perhaps a complicated form. What I'm doing is good for the United States, it's also going to be good for Mexico. We want to have a very stable, very solid Mexico”

Trump aides have weighed hiking border tariffs or border transit costs as one way to “make Mexico pay.”

Another threat is to finance the wall by tapping into remittances that Mexican migrants sent home, which last year amounted to $25 billion.

Mexico's foreign minister Luis Videgaray and the country's economy minister are currently in Washington to prepare a visit by President Enrique Pena Nieto scheduled for January 31.

“There are very clear red lines that must be drawn from the start,” Economy Minister Ildefonso Guajardo told the Televisa network in Mexico just ahead of the trip.

Asked whether his country would walk away from talks if the wall and remittances are an issue, Guajardo said: “Absolutely.”

Trump also wants to renegotiate the North American Free Trade Agreement (NAFTA) with Mexico and Canada, warning last week that he would abandon the pact unless the United States gets “a fair deal.”

Mexico has said it is willing to “modernize” the pact, which came into force in 1994 and represents $531 billion in annual trade between Mexico and the United States.

Some 80pc of Mexico's exports go to the US market.

Ban on Muslims?

Trump has also floated the idea of a ban on Muslims coming to the United States.

Trump this week is set to slash the number of refugees allowed to resettle in the United States, according to the New York Times, particularly from Syria and other Muslim-majority countries.

Around 4.8 million Syrians have fled to neighboring countries alone, according to the United Nations. An estimated 18,000 Syrians have come to the United States.

Former officials said Trump could slow the flow down by moving resources away from processing visa requests, or cutting migrant quotas and programs.

The orders would restrict immigration and access to the United States for refugees and visa holders from Iraq, Iran, Libya, Somalia, Sudan, Syria and Yemen, according to the Washington Post.

Citizens from those countries already face large obstacles in obtaining US visas.

But the move has prompted a fierce backlash even before it was announced.

“A ban on refugees would not make America safer,” said Stephen Yale-Loehr of Cornell Law.

“Refugees from Syria already go through a 21-step screening process that takes 18-24 months.”

The head of the US Citizenship and Immigration Services told Congress in September 2016 that not a single act of actual terrorist violence has been committed by a refugee since 9/11.