I think we learned a couple of important things this week:

[Honeycombe8]

33. I think you may be misremembering...

or it was some isolated Bishops.

The official position of the Church since 2013:

USCCB Position
The United States Conference of Catholic Bishops (USCCB) opposes "enforcement only" immigration policies and supports comprehensive immigration reform. In Strangers No Longer: Together on the Journey of Hope, the U.S. Catholic Bishops outlined the elements of their proposal for comprehensive immigration reform. These include:

Earned Legalization: An earned legalization program would allow foreign nationals of good moral character who are living in the United States to apply to adjust their status to obtain lawful permanent residence. Such a program would create an eventual path to citizenship, requiring applicants to complete and pass background checks, pay a fine, and establish eligibility for resident status to participate in the program. Such a program would help stabilize the workforce, promote family unity, and bring a large population "out of the shadows," as members of their communities.

Future Worker Program: A worker program to permit foreign‐born workers to enter the country safely and legally would help reduce illegal immigration and the loss of life in the American desert. Any program should include workplace protections, living wage levels, safeguards against the displacement of U.S. workers, and family unity.

Family‐based Immigration Reform: It currently takes years for family members to be reunited through the family‐based legal immigration system. This leads to family breakdown and, in some cases, illegal immigration. Changes in family‐based immigration should be made to increase the number of family visas available and reduce family reunification waiting times.

Restoration of Due Process Rights: Due process rights taken away by the 1996 Illegal Immigration Reform and Immigrant Responsibility Act (IIRIRA) should be restored. For example, the three and ten year bars to reentry should be eliminated.

Addressing Root Causes: Congress should examine the root causes of migration, such as under‐development and poverty in sending countries, and seek long‐term solutions. The antidote to the problem of illegal immigration is sustainable economic development in sending countries. In an ideal world, migration should be driven by choice, not necessity.

Enforcement: The U.S. Catholic Bishops accept the legitimate role of the U.S. government in intercepting unauthorized migrants who attempt to travel to the United States. The Bishops also believe that by increasing lawful means for migrants to enter, live, and work in the United States, law enforcement will be better able to focus upon those who truly threaten public safety: drug and human traffickers, smugglers, and would‐be terrorists. Any enforcement measures must be targeted, proportional, and humane.

http://www.usccb.org/issues-and-action/human-life-and-dignity/immigration/churchteachingonimmigrationreform.cfm

Also....

Bishops’ Migration Chair: U.S. Should Welcome Syrian Refugees, Work For Peace

November 17, 2015

http://www.usccb.org/news/2015/15-157.cfm

There's other information out there. Then there's Pope Francis...he's big on immigration allowances, esp for refugees.

The Catholic Church has a high % of non-Euros the world over, so they have more concern over immigration than some other churches.