Donald Trump Donald John TrumpOmar fires back at Trump over rally remarks: 'This is my country' Pelosi: Trump hurrying to fill SCOTUS seat so he can repeal ObamaCare Trump mocks Biden appearance, mask use ahead of first debate MORE’s right-wing allies are keeping him on a tight leash when it comes to his signature campaign issue of immigration.

Trump has softened some of his campaign rhetoric since winning the White House race, but conservatives have largely stayed quiet as the president-elect has flirted with Democrats, discussed keeping parts of ObamaCare and rethought the use of waterboarding.

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On Monday, Trump met with former Vice President Al Gore Albert (Al) Arnold GoreCruz says Senate Republicans likely have votes to confirm Trump Supreme Court nominee 4 inconclusive Electoral College results that challenged our democracy Fox's Napolitano: 2000 election will look like 'child's play' compared to 2020 legal battles MORE, the world’s most renowned advocate for policies that fight climate change, and senior transition team adviser Anthony Scaramucci told a Washington audience that the president-elect is not looking to rip up the North American Free Trade Agreement (NAFTA).

Conservative leaders who support Trump have praised him for his pragmatism, saying bipartisan deals can be good for the country.

They even bit their tongues, for the most part, when Trump offered subsidies to the cooling and heating company Carrier to keep jobs in Indiana — a move that looked to many fiscal conservatives like crony capitalism.

But when it comes to immigration, the flexibility ends.

“This was, along with trade, the issue that allowed Donald Trump to mow down 16 other viable and talented and capable contenders in the primary process,” Dan Stein, the president of the Federation for American Immigration Reform (FAIR), said in an interview with The Hill on Monday.

“Nobody can bring out, in rally after rally, Americans who lost loved ones because these immigration laws were not enforced … or Americans who lost jobs because of unfair labor displacement,” and not follow through, added Stein, who has the ear of Trump’s inner circle.

Texas Rep. Michael McCaul is at the center of the pressure.

Hard-line organizations like NumbersUSA, FAIR and the Center for Immigration Studies (CIS) are already signaling they would see it as a betrayal for Trump to pick the Texas lawmaker as his Homeland Security secretary.

They warn that McCaul is too close to House Speaker Paul Ryan Paul Davis RyanKenosha will be a good bellwether in 2020 At indoor rally, Pence says election runs through Wisconsin Juan Williams: Breaking down the debates MORE (R-Wis.) and the Republican leadership to be entrusted with Trump’s immigration agenda.

The hard-liners’ message to Trump is blunt.

In the words of a source close to Sen. Jeff Sessions Jefferson (Jeff) Beauregard SessionsGOP set to release controversial Biden report Trump's policies on refugees are as simple as ABCs Ocasio-Cortez, Velázquez call for convention to decide Puerto Rico status MORE (R-Ala.), the powerful immigration hawk whom Trump has selected for attorney general: “You could choose an establishment person for any position but that one [DHS].”

Stein and Mark Krikorian, executive director of the CIS, said McCaul has supported “weak” immigration proposals. Stein charged that the Texan has been too willing to satisfy the GOP donor class over the concerns of American workers who are losing out to open borders.

Breitbart News, a tribune for the nationalist immigration policies favored by Trump and his conservative allies, published a story on Saturday portraying McCaul as an ally of “discredited globalist and rejected House Majority Leader Eric Cantor Eric Ivan CantorThe Hill's Campaign Report: Florida hangs in the balance Eric Cantor teams up with former rival Dave Brat in supporting GOP candidate in former district Bottom line MORE [R-Va.].”

McCaul spokeswoman Lizzie Litzow told The Hill on Monday it was “entirely inaccurate” to say McCaul supports giving amnesty to people living in the U.S. illegally.

“He stands staunchly against any form of amnesty,” she said in an email. “What he did do at the time [2014] was express support for the idea of immediately securing our border.”

Litzow also defended McCaul against Breitbart’s charge that the congressman’s vote for GOP leadership’s omnibus spending bill meant he was unwilling to oppose sanctuary cities.

“McCaul voted for last year’s omnibus spending bill because of important measures to protect Americans from terror threats,” she said. “But the bill wasn’t perfect, and McCaul thinks we need to completely cut off federal funds to sanctuary cities and was deeply disappointed that such a provision wasn’t included in the omnibus.

“With a new administration and a Republican Congress, we plan to make it happen.”

Trump’s hard-line allies want more of an immigration ideologue as Homeland Security secretary.

Above anybody, they want Trump to pick Kris Kobach, the Kansas secretary of state who has achieved national fame, and notoriety on the left, for his uncompromising stances on immigration.

Voices on the right who backed Trump are also expressing public worry about the amount of influence that Ryan, Vice President-elect Mike Pence Michael (Mike) Richard PenceButtigieg stands in as Pence for Harris's debate practice Trump argues full Supreme Court needed to settle potential election disputes Pence adviser knocks ex-staffer who criticized Trump on COVID-19 MORE and Republican National Committee Chairman Reince Priebus will wield on immigration in a Trump administration. All three men are seen as political allies, and Priebus is Trump’s pick for White House chief of staff.

Pundits Ann Coulter and Mickey Kaus are among those on the right pressuring Trump not to pick McCaul and to avoid giving too much influence to Pence, Priebus and Ryan.

Many of Trump’s top allies believe that the U.S. government needs to limit legal, as well as illegal, immigration, something they believe Kobach would work to do.

“After eight years of Obama’s presidency, the anti-borders activists have become emboldened,” Krikorian told The Hill in an interview Monday.

“There are going to be human chains around [Immigrations and Custom Enforcement] offices. They are going to be posting the home addresses of ICE agents,” he added. “It’s going to be that kind of potentially violent opposition to immigration enforcement.

“And I hope whoever is DHS secretary won’t go wobbly.”